Question

Simplify (5^2 x 7^4)^10

A. 5^20 x 7^40
B. 5^12 x 7^14
C. 5^60 x 7^60
D. 35^60

Answer 1

A. 5^20 x 7^40

Explanation:

The exponent outside applies to each factor inside parentheses. The rules of exponents say ...

(a^b)^c = a^(b·c)

so, you have ...

`(5^2* 7^4)^(10)=5^(2\cdot 10)* 7^(4\cdot 10)=5^(20)* 7^(40)`