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next, evaluate the expression when the power has a different base. $5 \…

Question

next, evaluate the expression when the power has a different base.
$5 \cdot 4 - 3 = \quad 17$
$5 \cdot 4^2 - 3 = \quad 77$
$5^2 \cdot 4 - 3 = \quad \square$

Explanation:

Step1: Calculate the power

First, calculate \(5^2\). By the definition of exponentiation, \(5^2 = 5\times5 = 25\).

Step2: Multiply by 4

Next, multiply the result from Step 1 by 4. So, \(25\times4 = 100\).

Step3: Subtract 3

Finally, subtract 3 from the result of Step 2. That is, \(100 - 3 = 97\).

Answer:

97