Question

Simplify and express the following in exponential form:

((5²)³ × 5⁴) ÷ 5⁷

Answer 1

[(5²)³ × 5⁴] ÷ 5⁷

= [5^{2 × 3} × 5⁴] ÷ 5⁷       ...(a^m)ⁿ = a^mn

= [5⁶ × 5⁴] ÷ 5⁷

= [5^{6 + 4}] ÷ 5⁷    ...(a^m × aⁿ = a^{m + n})

= 5¹⁰ ÷ 5⁷

= `5^((10  −  7))`      ...(a^m ÷ aⁿ = a^{m − n})

= 5³