Question Determine if the statement $-3^{3}=27$ is true or false. If false, provide the correct statement.

Studdy Solution

STEP 1

Assumptions1. The base is -3. The exponent is3

STEP 2

We need to calculate the value of the expression on the right hand side. The power of a number is calculated by multiplying the number by itself for the number of times indicated by the exponent.
$-^{} = - \\times - \\times -$

STEP 3

Calculate the value of the expression.
$-3^{3} = -3 \\times -3 \\times -3 = -27$

STEP 4

Compare the calculated value with the given value on the right hand side of the equation.The calculated value is -27, but the given value is27.Therefore, the statement is false.

STEP 5

Correct the statement by replacing the right hand side with the calculated value.
$-3^{3} = -27$ The correct choice is B. False, the correct statement is $-3^{3}=-27$ .

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