Question Find the value of the expression $-(3)^{4}$ .

Studdy Solution

STEP 1

Assumptions
1. We need to evaluate the expression $-(3)^{4}$ .

STEP 2

Understand the order of operations (PEMDAS/BODMAS), which dictates that exponents are evaluated before multiplication and addition/subtraction.

STEP 3

First, calculate the exponentiation part of the expression.
$3^4 = 3 \times 3 \times 3 \times 3$

STEP 4

Compute the value of $3^4$ .
$3^4 = 81$

STEP 5

Now apply the negative sign to the result of the exponentiation.
$-(3)^4 = -81$
The value of $-(3)^{4}$ is $-81$ .

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Question Find the value of the expression $-(3)^{4}$ .

Studdy Solution

STEP 1

Assumptions
1. We need to evaluate the expression $-(3)^{4}$ .

STEP 2

Understand the order of operations (PEMDAS/BODMAS), which dictates that exponents are evaluated before multiplication and addition/subtraction.

STEP 3

First, calculate the exponentiation part of the expression.
$3^4 = 3 \times 3 \times 3 \times 3$

STEP 4

Compute the value of $3^4$ .
$3^4 = 81$

STEP 5

Now apply the negative sign to the result of the exponentiation.
$-(3)^4 = -81$
The value of $-(3)^{4}$ is $-81$ .

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Question Find the value of the expression −(3)4-(3)^{4}−(3)4.

Studdy Solution

STEP 1

Assumptions1. We need to evaluate the expression −(3)4-(3)^{4}−(3)4.

STEP 2

Understand the order of operations (PEMDAS/BODMAS), which dictates that exponents are evaluated before multiplication and addition/subtraction.

STEP 3

First, calculate the exponentiation part of the expression.34=3×3×3×33^4 = 3 \times 3 \times 3 \times 334=3×3×3×3

STEP 4

Compute the value of 343^434.34=813^4 = 8134=81

STEP 5

Now apply the negative sign to the result of the exponentiation.−(3)4=−81-(3)^4 = -81−(3)4=−81The value of −(3)4-(3)^{4}−(3)4 is −81-81−81.

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Question Find the value of the expression $-(3)^{4}$ .

Assumptions
1. We need to evaluate the expression $-(3)^{4}$ .

First, calculate the exponentiation part of the expression.
$3^4 = 3 \times 3 \times 3 \times 3$

Compute the value of $3^4$ .
$3^4 = 81$

Now apply the negative sign to the result of the exponentiation.
$-(3)^4 = -81$
The value of $-(3)^{4}$ is $-81$ .