Question

Evaluate the expression k³ when k=6.

k³ when k=6

Short answer

The value of $k^3$after evaluating the power is 216 when 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 power of 27 and evaluate

Example: Find the base and the power of 2⁷ and evaluate the value.

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

a = 2 and x = 7

Base = 2 and power = 7

Evaluate: $2^7=2 · 2 · 2 · 2 · 2 · 2 · 2 =128$

Evaluate the expression k3 when k = 6 

Evaluate the expression $k^3$ 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 = 3

In repeated multiplication:$k^3=k · k · k$

When k = 6:$k^3=k · k · k=6 · 6 · 6 =216$

The value of $k^3$after evaluating the power is 216