Radicals and Exponents Evaluate each expression.
a. $5^{3} \cdot 5$
b. $5^{4} \cdot 5^{- 2}$
c. ${(2^{2})}^{3}$

Question

Radicals and Exponents Evaluate each expression.
a. $5^{3} \cdot 5$
b. $5^{4} \cdot 5^{- 2}$
c. ${(2^{2})}^{3}$

Accepted Answer

a) The value of $5^{3} \cdot 5$ is 625.

b) The value of $5^{4} \cdot 5^{- 2}$ is 25.

c) The value of ${(2^{2})}^{3}$ is 64.

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Precalculus Mathematics for Calculus

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Short Answer

Radicals and Exponents Evaluate each expression.
a. $5^{3} \cdot 5$
b. $5^{4} \cdot 5^{- 2}$
c. ${(2^{2})}^{3}$

Step by Step Solution

Part a Step 1. Given information.

Part a Step 2. Write the concept.

Part a Step 3. Determine the value of the expression.

Part b Step 1. Given information.

Step 2. Write the concept.

Part b Step 3. Determine the value of the expression.

Part c Step 1. Given information.

Part c Step 2. Write the concept.

Part c Step 3. Determine the value of the expression.

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Precalculus Mathematics for Calculus

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Radicals and Exponents Evaluate each expression.a. 53⋅5b. 54⋅5−2c. (22)3

Step by Step Solution

Part a Step 1. Given information.

Part a Step 2. Write the concept.

Part a Step 3. Determine the value of the expression.

Part b Step 1. Given information.

Step 2. Write the concept.

Part b Step 3. Determine the value of the expression.

Part c Step 1. Given information.

Part c Step 2. Write the concept.

Part c Step 3. Determine the value of the expression.

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Radicals and Exponents Evaluate each expression.
a. $5^{3} \cdot 5$
b. $5^{4} \cdot 5^{- 2}$
c. ${(2^{2})}^{3}$