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91Ó°ÊÓ

Evaluate the expression k5 whenk = 6.

k5 whenk = 6

Short Answer

Expert verified

The value of k5after evaluating the power is 7776when k = 6

Step by step solution

01

– Explanation of the exponent formula

ax→a is the base and x is exponent.

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

The expressionsaxthis means that a has been used as a factor x times

02

Find the base and exponent of 27 and evaluate

Example: Find the base and the exponent of 34 and evaluate the value.

Rule: ax→a is called base and x is power.

a = 3 and x = 4

Base = 3 and power = 4

Evaluate: 34  =3 · 3 · 3 · 3 = 81

03

Step 3:

Evaluate the expression k5 whenk=6.

According to the exponent rule:

ax→a is called base and x is power.

a = k and x = 5

In repeated multiplication:k5=k · k · k · k · k

When k = 6:k5=k · k · k · k · k=6 · 6 · 6 · 6 · 6 =7776

The value of k5after evaluating the power is 7776

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