Question

Simplify and express the following in exponential form
$({\left(7^2\right)}^4\times 7^8)÷{\left(7^4\right)}^2$

• A. $7^2$
• B. $7^4$
• C. $7^8$
• D. $7^{16}$

Answer 1

The correct option is C $7^8$

(72×4 × 78 )= 78 × 78 = 78+8 = 716

Now, ((72)4 x 78) ÷ (74)2 can be written as

716 ÷ 74×2 = 716 ÷ 78 = 716-8 = 78

Therefore, option c is correct.