Question

What exponential expression is equal to 2 to the negative 5th power • 2 to the 8th power ?

Answer 1

2^3

Explanation:

2^-5×2^8=2^(-5+8)

= 2^3

Answer 2

2³

Explanation:

Written in numerical form:

2⁻⁵ · 2⁸

Since both exponents have the same base, one of the exponent rules apply. When multiplying exponents with the same base, you add the exponents.

xᵃ · xᵇ = xᵃ⁺ᵇ

2⁻⁵ · 2⁸

= 2⁽⁻⁵⁾ ⁺ ⁸

= 2³ Simplified exponent form

= 8 Most simplified form