Question

Evaluate the expression k⁵ whenk = 6.

k⁵ whenk = 6

Short answer

The value of $k^5$after evaluating the power is 7776when k = 6

Step-by-step solution

– Explanation of the exponent formula

${\text{a}}^{\text{x}}\to$a is the base and x is exponent.

The power is the result of repeated multiplication of the same factor.

The expressionsa^xthis means that a has been used as a factor x times

Find the base and exponent of 27 and evaluate

Example: Find the base and the exponent of $3^4$ and evaluate the value.

Rule: ${\text{a}}^{\text{x}}\to$a is called base and x is power.

a = 3 and x = 4

Base = 3 and power = 4

Evaluate: $3^4 =3 · 3 · 3 · 3 = 81$

Step 3:

Evaluate the expression $k^5$ when$k=6$.

According to the exponent rule:

${\text{a}}^{\text{x}}\to$a is called base and x is power.

a = k and x = 5

In repeated multiplication:$k^5=k · k · k · k · k$

When k = 6:$k^5=k · k · k · k · k=6 · 6 · 6 · 6 · 6 =7776$

The value of $k^5$after evaluating the power is 7776