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Chapter 5: Problem 9

Simplify each expression using the power rule. $$\left(6^{9}\right)^{10}$$

Short Answer

Expert verified
The simplified expression is \(6^{90}\).

Step by step solution

01

Apply the power rule

To simplify \(\left(6^{9}\right)^{10}\), the power rule of exponents has to be applied. This is \((a^m)^n = a^{m*n}\). So, by simply multiplying the exponents 9 and 10 together, the expression can be simplified.
02

Multiply the exponents

Multiply the exponents 9 and 10 together. That gives 90.
03

Write the final answer

Now the expression \(\left(6^{9}\right)^{10}\) is equal to \(6^{90}\), according to the power rule.

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Most popular questions from this chapter

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