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What is the value of the expression
7×(5-3)^(3)-20÷4 ? Show your work.

What is the value of the expression $7 \times(5-3)^{3}-20 \div 4$ ? Show your work.

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Evaluate rational exponents

Full solution

Q. What is the value of the expression

7 \times(5-3)^{3}-20 \div 4

? Show your work.

Evaluate Expression: Evaluate the expression inside the parentheses $(5-3)$ . $5 - 3 = 2$
Raise to Power: Raise the result from Step $1$ to the power of $3$ . $2^{3} = 2 \times 2 \times 2 = 8$
Multiply by $7$ : Multiply the result from Step $2$ by $7$ . $7 \times 8 = 56$
Divide and Subtract: Divide $20$ by $4$ . $\newline$ $20 \div 4 = 5$
Divide and Subtract: Divide $20$ by $4$ . $\newline$ $20 \div 4 = 5$ Subtract the result from Step $4$ from the result from Step $3$ . $\newline$ $56 - 5 = 51$

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