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Chapter 1: Q9. (page 12)

Evaluate the expression k4 when k=6.

Short Answer

Expert verified

The value of k4after evaluating the power is 1296when k = 6

Step by step solution

01

– Explanation of the exponent formula

ax鈫�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 27 and evaluate the value.

Rule: ax鈫�a is called base and x is exponent.

a = 2 and x = 7

Base = 2 and exponent = 7

Evaluate: 27=2鈥�路鈥�2鈥�路鈥�2鈥�鈥�路鈥�2鈥�路鈥�2鈥�路鈥�2鈥�路鈥�2鈥�=128

03

Evaluate the expression k4 when k = 6

Evaluate the expression k4 whenk=6.

According to the exponent rule:

ax鈫�a is called base and x is power.

a = k and x = 4

In repeated multiplication:k4=k鈥�路鈥�k鈥�路鈥�k鈥�路鈥�k

When k = 6:k4=k鈥�路鈥�k鈥�路鈥�k鈥�路鈥�k=6鈥�路鈥�6鈥�路鈥�6鈥�路鈥�6鈥�=1296

The value of k4after evaluating the power is 1296

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