Math / Numbers & Operations

QuestionCalculate the value of $(-5)^{3}$

Studdy Solution

STEP 1

1. The base of the expression is $-5$ .
2. The exponent is $3$ .
3. We need to calculate the power of a negative number raised to an odd exponent.

STEP 2

1. Understand the expression.
2. Calculate the power.
3. Determine the sign of the result.

STEP 3

Understand that $(-5)^3$ means multiplying $-5$ by itself a total of three times.

STEP 4

Calculate the power by performing the multiplication:
$(-5) \times (-5) \times (-5)$

STEP 5

First, multiply the first two factors:
$(-5) \times (-5) = 25$

STEP 6

Next, multiply the result by the third factor:
$25 \times (-5) = -125$

STEP 7

Since the exponent is odd, the sign of the result remains negative.
The value of $(-5)^3$ is:
$\boxed{-125}$

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QuestionCalculate the value of $(-5)^{3}$

Studdy Solution

STEP 1

1. The base of the expression is $-5$ .
2. The exponent is $3$ .
3. We need to calculate the power of a negative number raised to an odd exponent.

STEP 2

1. Understand the expression.
2. Calculate the power.
3. Determine the sign of the result.

STEP 3

Understand that $(-5)^3$ means multiplying $-5$ by itself a total of three times.

STEP 4

Calculate the power by performing the multiplication:
$(-5) \times (-5) \times (-5)$

STEP 5

First, multiply the first two factors:
$(-5) \times (-5) = 25$

STEP 6

Next, multiply the result by the third factor:
$25 \times (-5) = -125$

STEP 7

Since the exponent is odd, the sign of the result remains negative.
The value of $(-5)^3$ is:
$\boxed{-125}$

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QuestionCalculate the value of (−5)3(-5)^{3}(−5)3

Studdy Solution

STEP 1

1. The base of the expression is −5-5−5.2. The exponent is 333.3. We need to calculate the power of a negative number raised to an odd exponent.

STEP 2

1. Understand the expression.2. Calculate the power.3. Determine the sign of the result.

STEP 3

Understand that (−5)3(-5)^3(−5)3 means multiplying −5-5−5 by itself a total of three times.

STEP 4

Calculate the power by performing the multiplication:(−5)×(−5)×(−5) (-5) \times (-5) \times (-5) (−5)×(−5)×(−5)

STEP 5

First, multiply the first two factors:(−5)×(−5)=25 (-5) \times (-5) = 25 (−5)×(−5)=25

STEP 6

Next, multiply the result by the third factor:25×(−5)=−125 25 \times (-5) = -125 25×(−5)=−125

STEP 7

Since the exponent is odd, the sign of the result remains negative. The value of (−5)3(-5)^3(−5)3 is:−125\boxed{-125}−125​

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QuestionCalculate the value of $(-5)^{3}$

1. The base of the expression is $-5$ .
2. The exponent is $3$ .
3. We need to calculate the power of a negative number raised to an odd exponent.

1. Understand the expression.
2. Calculate the power.
3. Determine the sign of the result.

Understand that $(-5)^3$ means multiplying $-5$ by itself a total of three times.

Calculate the power by performing the multiplication:
$(-5) \times (-5) \times (-5)$

First, multiply the first two factors:
$(-5) \times (-5) = 25$

Next, multiply the result by the third factor:
$25 \times (-5) = -125$

Since the exponent is odd, the sign of the result remains negative.
The value of $(-5)^3$ is:
$\boxed{-125}$