QuestionEvaluate the expression: $-2^{4}$ . What is the result?

Studdy Solution

STEP 1

Assumptions1. The expression is $-^{4}$ . The order of operations (PEMDAS/BODMAS) applies, where exponentiation is done before multiplication or division

STEP 2

The expression $-2^{4}$ means that the negation applies to2 raised to the power of4. According to the order of operations, exponentiation is done before negation.
$-2^{4} = -(2^{4})$

STEP 3

Calculate the value of $2^{}$ .
$2^{} =2 \times2 \times2 \times2 =16$

STEP 4

Substitute the value of $2^{4}$ back into the expression.
$-2^{4} = -(16)$

STEP 5

Calculate the value of $-2^{4}$ .
$-2^{4} = -(16) = -16$ So, $-2^{4} = -16$ .

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QuestionEvaluate the expression: $-2^{4}$ . What is the result?

Studdy Solution

STEP 1

Assumptions1. The expression is $-^{4}$ . The order of operations (PEMDAS/BODMAS) applies, where exponentiation is done before multiplication or division

STEP 2

The expression $-2^{4}$ means that the negation applies to2 raised to the power of4. According to the order of operations, exponentiation is done before negation.
$-2^{4} = -(2^{4})$

STEP 3

Calculate the value of $2^{}$ .
$2^{} =2 \times2 \times2 \times2 =16$

STEP 4

Substitute the value of $2^{4}$ back into the expression.
$-2^{4} = -(16)$

STEP 5

Calculate the value of $-2^{4}$ .
$-2^{4} = -(16) = -16$ So, $-2^{4} = -16$ .

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QuestionEvaluate the expression: −24-2^{4}−24. What is the result?

Studdy Solution

STEP 1

Assumptions1. The expression is −4-^{4}−4 . The order of operations (PEMDAS/BODMAS) applies, where exponentiation is done before multiplication or division

STEP 2

The expression −24-2^{4}−24 means that the negation applies to2 raised to the power of4. According to the order of operations, exponentiation is done before negation.−24=−(24)-2^{4} = -(2^{4})−24=−(24)

STEP 3

Calculate the value of 22^{}2.2=2×2×2×2=162^{} =2 \times2 \times2 \times2 =162=2×2×2×2=16

STEP 4

Substitute the value of 242^{4}24 back into the expression.−24=−(16)-2^{4} = -(16)−24=−(16)

STEP 5

Calculate the value of −24-2^{4}−24.−24=−(16)=−16-2^{4} = -(16) = -16−24=−(16)=−16So, −24=−16-2^{4} = -16−24=−16.

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QuestionEvaluate the expression: $-2^{4}$ . What is the result?

Assumptions1. The expression is $-^{4}$ . The order of operations (PEMDAS/BODMAS) applies, where exponentiation is done before multiplication or division

The expression $-2^{4}$ means that the negation applies to2 raised to the power of4. According to the order of operations, exponentiation is done before negation.
$-2^{4} = -(2^{4})$

Calculate the value of $2^{}$ .
$2^{} =2 \times2 \times2 \times2 =16$

Substitute the value of $2^{4}$ back into the expression.
$-2^{4} = -(16)$

Calculate the value of $-2^{4}$ .
$-2^{4} = -(16) = -16$ So, $-2^{4} = -16$ .