Question

Simplify. Rewrite the expression in the form a^na n a, start superscript, n, end superscript. a^{5}\cdot a^{-3}=a 5 ⋅a −3

Answer 1

To simplify the expression a⁵ · a⁻³, we use the rule of multiplying exponentiated quantities by adding the exponents: a⁵ + a⁻³ = a⁽⁵⁻³⁾ = a².

Step-by-step explanation:

To simplify the expression a⁵ · a⁻³, we need to use the exponent rules.

According to the rules for multiplying exponentiated quantities, when we multiply two powers with the same base, we add the exponents.

Here we have the base a raised to the 5th power multiplied by the base a raised to the -3rd power.

The calculation would be:

• a⁵ · a⁻³ = a⁵ + (-3)
• a⁵ · a⁻³ = a²

So, the simplified form of the expression a⁵ · a⁻³ is a².