Question

Evaluate the expression n² when n = 7 and n = 0.4.

n² when n = 7 and when n = 0.4

Short answer

The value of $n^2$after evaluating the power is 49 when n = 7 and 0.16 when n = 0.4

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 2⁷ and evaluate the value.

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

a = 2 and x = 7

Base = 2 and exponent = 7

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

Evaluate the expression n2 when n = 7 and n = 0.

Evaluate the expression $n^2$whenn = 7 and n = 0.4.

According to the exponent rule:

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

a = n and x = 2

In repeated multiplication:$n^2= n · n$

When n = 7:$n^2= n · n = 7 · 7 =49$

When n = 0.4:$n^2= n · n = (0.4) · (0.4) =0.16$

The value of $n^2$after evaluating the power is 49 when n= 7 and 0.16 when n = 0.4