Math / Numbers & Operations

QuestionWork out the value of $x^{n}$ when $x=5$ and $n=3$

Studdy Solution

STEP 1

1. The base $x$ is given as $5$ .
2. The exponent $n$ is given as $3$ .
3. We need to calculate $x^n$ .

STEP 2

1. Substitute the given values into the expression.
2. Calculate the power.

STEP 3

Substitute $x = 5$ and $n = 3$ into the expression $x^n$ .
$x^n = 5^3$

STEP 4

Calculate $5^3$ by multiplying $5$ by itself $3$ times.
$5^3 = 5 \times 5 \times 5$

STEP 5

Perform the multiplication step-by-step.
$5 \times 5 = 25$

STEP 6

Continue the multiplication.
$25 \times 5 = 125$
The value of $x^n$ when $x = 5$ and $n = 3$ is:
$\boxed{125}$

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QuestionWork out the value of $x^{n}$ when $x=5$ and $n=3$

Studdy Solution

STEP 1

1. The base $x$ is given as $5$ .
2. The exponent $n$ is given as $3$ .
3. We need to calculate $x^n$ .

STEP 2

1. Substitute the given values into the expression.
2. Calculate the power.

STEP 3

Substitute $x = 5$ and $n = 3$ into the expression $x^n$ .
$x^n = 5^3$

STEP 4

Calculate $5^3$ by multiplying $5$ by itself $3$ times.
$5^3 = 5 \times 5 \times 5$

STEP 5

Perform the multiplication step-by-step.
$5 \times 5 = 25$

STEP 6

Continue the multiplication.
$25 \times 5 = 125$
The value of $x^n$ when $x = 5$ and $n = 3$ is:
$\boxed{125}$

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QuestionWork out the value of xnx^{n}xn when x=5x=5x=5 and n=3n=3n=3

Studdy Solution

STEP 1

1. The base x x x is given as 5 5 5.2. The exponent n n n is given as 3 3 3.3. We need to calculate xn x^n xn.

STEP 2

1. Substitute the given values into the expression.2. Calculate the power.

STEP 3

Substitute x=5 x = 5 x=5 and n=3 n = 3 n=3 into the expression xn x^n xn.xn=53 x^n = 5^3 xn=53

STEP 4

Calculate 53 5^3 53 by multiplying 5 5 5 by itself 3 3 3 times.53=5×5×5 5^3 = 5 \times 5 \times 5 53=5×5×5

STEP 5

Perform the multiplication step-by-step.5×5=25 5 \times 5 = 25 5×5=25

STEP 6

Continue the multiplication.25×5=125 25 \times 5 = 125 25×5=125 The value of xn x^n xn when x=5 x = 5 x=5 and n=3 n = 3 n=3 is:125\boxed{125}125​

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QuestionWork out the value of $x^{n}$ when $x=5$ and $n=3$

1. The base $x$ is given as $5$ .
2. The exponent $n$ is given as $3$ .
3. We need to calculate $x^n$ .

1. Substitute the given values into the expression.
2. Calculate the power.

Substitute $x = 5$ and $n = 3$ into the expression $x^n$ .
$x^n = 5^3$

Calculate $5^3$ by multiplying $5$ by itself $3$ times.
$5^3 = 5 \times 5 \times 5$

Perform the multiplication step-by-step.
$5 \times 5 = 25$

Continue the multiplication.
$25 \times 5 = 125$
The value of $x^n$ when $x = 5$ and $n = 3$ is:
$\boxed{125}$