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Chapter 5: Problem 13

Simplify each expression using the power rule. $$\left[(-20)^{3}\right]^{3}$$

Short Answer

Expert verified
The simplified expression is \( -512000000000 \)

Step by step solution

01

Identify the Base and the Exponents

The base in this exercise is -20 while there are two exponents, 3 and 3. The expression can be rewritten as \( (-20)^{3 \cdot 3} \) as per power rule.
02

Apply the Power Rule

Multiply the exponents together. This is done by multiplying 3 and 3 together to get 9. The expression can now be rewritten as \( (-20)^{9} \).
03

Calculate the Power

Calculate \( (-20)^{9} \). Considering the negative sign, and since the exponent is odd, the answer will be negative. It will be a large value as 20 is raised to the power of 9.

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Most popular questions from this chapter

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Simplify: \(24+8 \cdot 3+28 \div(-7)\).

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