Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.3 More about Exponents to secure good marks & knowledge in the exams.

Exercises

CALCULATE

Convert to a fraction.

Question 1.
4-3
$$\frac{1}{64}$$
Explanation:
a-n  =1/an = $$\frac{1}{a}$$n
4-3  =1/4= $$\frac{1}{4x4x4}$$ = $$\frac{1}{64}$$

Question 2.
3-3
$$\frac{1}{27}$$
Explanation:
a-n  =1/an = $$\frac{1}{a}$$n
3-3  =1/3= $$\frac{1}{3x3x3}$$ =  $$\frac{1}{27}$$

Question 3.
6-4
$$\frac{1}{1296}$$
Explanation:
a-n  =1/an = $$\frac{1}{a}$$n
6-4  =1/6= $$\frac{1}{6x6x6x6}$$ =  $$\frac{1}{1296}$$

Question 4.
5-5
$$\frac{1}{3125}$$
Explanation:
a-n  =1/an = $$\frac{1}{a}$$n
5-5  =1/5= $$\frac{1}{5x5x5x5x5}$$  = $$\frac{1}{3125}$$

Question 5.
7-2
$$\frac{1}{49}$$
Explanation:
a-n  =1/an = $$\frac{1}{a}$$n
7-2  =1/7= $$\frac{1}{7×7}$$ = $$\frac{1}{49}$$

Question 6.
4-1
$$\frac{1}{4}$$
Explanation:
a-n  =1/an = $$\frac{1}{a}$$n
4-1  =1/4= $$\frac{1}{4}$$

Question 7.
9-5
$$\frac{1}{59049}$$
Explanation:
a-n  =1/an = $$\frac{1}{a}$$n
9-5  =1/9= $$\frac{1}{9x9x9x9x9}$$ = $$\frac{1}{59049}$$

Question 8.
2-8
$$\frac{1}{256}$$
Explanation:
a-n  =1/an = $$\frac{1}{a}$$n
2-8  =1/2= $$\frac{1}{2x2x2x2x2x2x2x2}$$ = $$\frac{1}{256}$$

Convert to exponential form.

Question 9.
$$\frac{1}{64}$$
8-2 or 2-6
Explanation:
$$\frac{1}{a}$$ = 1/an = a-n
$$\frac{1}{64}$$ = 1/ 2=2-6

Question 10.
$$\frac{1}{81}$$
9-2
Explanation:
$$\frac{1}{a}$$ = 1/an = a-n
$$\frac{1}{81}$$ = 1/ 9=9-2

Question 11.
$$\frac{1}{9}$$
3-2
Explanation:
$$\frac{1}{a}$$ = 1/an = a-n
$$\frac{1}{9}$$ = 1/ 3=3-2

Question 12.
$$\frac{1}{25}$$
5-2
Explanation:
$$\frac{1}{a}$$ = 1/an = a-n
$$\frac{1}{25}$$ = 1/ 5=5-2

Multiply

Question 13.
44 × 4-2
16 or 42
Explanation:
am x an = am + n
44 x 4-2 = 44 – 2
= 42
= 16

Question 14.
57 × 5-4
125 or 53
Explanation:
am x an = am + n
57 x 5-4 = 57 – 4
= 53
= 125

Question 15.
712 × 7-6
117,649 or 76
Explanation:
am x an = am + n
712 x 7-6 = 712 – 6
= 76
= 117,649

Question 16.
1424 × 14-20