Practice questions available in **McGraw Hill Math Grade 6 Answer Key PDF** **Lesson 15.1 Exponents **will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 15.1 Exponents

**Exercises
**

**FIND THE VALUE**

Question 1.

2

^{3 }= 8.

Answer:

2

^{3 }= 8.

Explanation:

2^{3 }= 2 × 2 × 2

= 4 × 2

= 8.

Question 2.

5^{2}

Answer:

5^{2 }= 25.

Explanation:

5^{2 }= 5 × 5

= 25.

Question 3.

12^{3}

Answer:

12^{3 }= 1,728.

Explanation:

12^{3 }= 12 × 12 × 12

= 144 × 12

= 1,728.

Question 4.

4^{3}

Answer:

4^{3 }= 64.

Explanation:

4^{3 }= 4 × 4 × 4

= 16 × 4

= 64.

Question 5.

12^{2}

Answer:

12^{2 }= 144.

Explanation:

12^{2 }= 12 × 12

= 144.

Question 6.

2.5^{2}

Answer:

2.5^{2 }= 6.25.

Explanation:

2.5^{2 }= 2.5 × 2.5

= 6.25.

Question 7.

10^{3}

Answer:

10^{3 }= 1000.

Explanation:

10^{3 }= 10 × 10 × 10

= 100 × 10

= 1000.

Question 8.

7^{4}

Answer:

7^{4 }= 2,401.

Explanation:

7^{4 }= 7 × 7 × 7 × 7

= 49 × 7 × 7

= 343 × 7

= 2,401.

Question 9.

1.2^{2}

Answer:

1.2^{2 }= 1.44.

Explanation:

1.2^{2 }= 1.2 × 1.2

= 1.44.

Question 10.

5^{4}

Answer:

5^{4 }= 625.

Explanation:

5^{4 }= 5× 5 × 5 × 5

= 25 × 5 × 5

= 125 × 5

= 625.

Question 11.

3^{5}

Answer:

3^{5 }= 243.

Explanation:

3^{5 }= 3 × 3 × 3 × 3 × 3

= 9 × 3 × 3 × 3

= 27 × 3 × 3

= 81 × 3

= 243.

Question 12.

(.01)^{2}

Answer:

(.01)^{2 }= 0.0001.

Explanation:

(.01)^{2 }= .01 × .01

= 0.0001.

Question 13.

2^{7}

Answer:

2^{7 }= 64.

Explanation:

2^{7 }= 2 × 2 × 2 × 2 × 2 × 2 × 2

= 4 × 2 × 2 × 2 × 2 × 2

= 8 × 2 × 2 × 2 × 2

= 16 × 2 × 2

= 32 × 2

= 64.

Question 14.

(.05)^{3}

Answer:

(.05)^{3 }= 0.000125.

Explanation:

(.05)^{3 }= .05 × .05 × .05

= 0.0025 × .05

= 0.000125.

Question 15.

10^{5}

Answer:

10^{5 }= 100,000.

Explanation:

10^{5 }= 10 × 10 × 10 × 10 × 10

= 100 × 10 × 10 × 10

= 1000 × 10 × 10

= 10000 × 10

= 100,000.

Question 16.

(1.1)^{2}

Answer:

(1.1)^{2 }= 1.21.

Explanation:

(1.1)^{2 }= 1.1 × 1.1

= 1.21.

Question 17.

7^{3}

Answer:

7^{3 }= 343.

Explanation:

7^{3 }= 7 × 7 × 7

= 49 × 7

= 343.

Question 18.

25^{2}

Answer:

25^{2 }= 625.

Explanation:

25^{2 }= 25 × 25

= 625.

Question 19.

30^{3}

Answer:

30^{3 }= 27,000.

Explanation:

30^{3 }= 30 × 30 × 30

= 900 × 30

= 27,000.

Question 20.

(.002)^{3}

Answer:

(.002)^{3 }= 0.000000008.

Explanation:

(.002)^{3 }= .002 × .002 × .002

= 0.000004 × .002

= 0.000000008.

Question 21.

Jasper was planning to hand out flyers to his friends to spread the word about an upcoming charity event. He wanted to give his six friends enough flyers for them to each give a flyer to six of their own friends. How many flyers will Jasper need?

Answer:

Number of flyers Jasper needs =6.

Explanation:

Number of friends Jasper wants to give the flyers = 6.

Number of flyers he was to give to each = 1.

Number of flyers Jasper needs = Number of friends Jasper wants to give the flyers × Number of flyers he was to give to each

= 6 × 1

= 6.

Question 22.

Oren’s dad offered him a choice of $13.00 total to buy eight newspapers, or 4 cents for the first newspaper, 8 cents for the second newspaper, 16 cents for the third newspaper, and so on up to the eighth newspaper. Which choice of payment should Oren take? Why?

Answer:

$10.20 choice of payment should Oren take because its less cost price than $13.00 offer.

Explanation:

Cost of total to buy eight newspaper Oren’s dad offered him a choice = $13.00.

Cost of first newspaper = 4 cents.

Cost of second newspaper = 8 cents.

Cost of third newspaper = 16 cents.

Cost of fourth newspaper = 32 cents.

Cost of fifth newspaper = 64 cents.

Cost of sixth newspaper = 128 cents.

Cost of seventh newspaper = 256 cents.

Cost of eighth newspaper = 512 cents.

Cost of 8 newspapers = Cost of first newspaper + Cost of second newspaper + Cost of third newspaper + Cost of fourth newspaper + Cost of fifth newspaper + Cost of sixth newspaper + Cost of seventh newspaper + Cost of eighth newspaper

= 4 cents + 8 cents + 16 cents + 32 cents + 64 cents + 128 cents + 256 cents + 512 cents

= 12cents + 16 cents + 32 cents + 64 cents + 128 cents + 256 cents + 512 cents

= 28 cents + 32 cents + 64 cents + 128 cents + 256 cents + 512 cents

= 60 cents + 64 cents + 128 cents + 256 cents + 512 cents

= 124 cents + 128 cents + 256 cents + 512 cents

= 252 cents + 256 cents + 512 cents

= 508 cents + 512 cents

= 1,020 cents.

Conversion:

1 dollar = 100 cents.

=> 1020 cents = 1020 ÷ 100

=> $10.20.