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

Answer:

  A.  5^20 x 7^40

Step-by-step explanation:

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

  (a^b)^c = a^(b·c)

so, you have ...

  $(5^2\times 7^4)^{10}=5^{2\cdot 10}\times 7^{4\cdot 10}=5^{20}\times 7^{40}$