Math / Numbers & Operations

Question $-\frac{1^{2}}{2^{3}}=$

Studdy Solution

STEP 1

1. The expression involves basic arithmetic operations: exponentiation and division.
2. The base numbers and exponents are integers.
3. The expression needs to be simplified to a single numerical value.

STEP 2

1. Evaluate the exponent in the numerator.
2. Evaluate the exponent in the denominator.
3. Perform the division.
4. Apply the negative sign.

STEP 3

Evaluate the exponent in the numerator: $1^2$ .
$1^2 = 1$

STEP 4

Evaluate the exponent in the denominator: $2^3$ .
$2^3 = 2 \times 2 \times 2 = 8$

STEP 5

Perform the division of the evaluated numerator by the evaluated denominator.
$\frac{1}{8}$

STEP 6

Apply the negative sign to the result of the division.
$-\frac{1}{8}$
The simplified value of the expression is:
$\boxed{-\frac{1}{8}}$

Was this helpful?

Question $-\frac{1^{2}}{2^{3}}=$

Studdy Solution

STEP 1

1. The expression involves basic arithmetic operations: exponentiation and division.
2. The base numbers and exponents are integers.
3. The expression needs to be simplified to a single numerical value.

STEP 2

1. Evaluate the exponent in the numerator.
2. Evaluate the exponent in the denominator.
3. Perform the division.
4. Apply the negative sign.

STEP 3

Evaluate the exponent in the numerator: $1^2$ .
$1^2 = 1$

STEP 4

Evaluate the exponent in the denominator: $2^3$ .
$2^3 = 2 \times 2 \times 2 = 8$

STEP 5

Perform the division of the evaluated numerator by the evaluated denominator.
$\frac{1}{8}$

STEP 6

Apply the negative sign to the result of the division.
$-\frac{1}{8}$
The simplified value of the expression is:
$\boxed{-\frac{1}{8}}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question−1223=-\frac{1^{2}}{2^{3}}=−2312​=

Studdy Solution

STEP 1

1. The expression involves basic arithmetic operations: exponentiation and division.2. The base numbers and exponents are integers.3. The expression needs to be simplified to a single numerical value.

STEP 2

1. Evaluate the exponent in the numerator.2. Evaluate the exponent in the denominator.3. Perform the division.4. Apply the negative sign.

STEP 3

Evaluate the exponent in the numerator: 121^212.12=1 1^2 = 1 12=1

STEP 4

Evaluate the exponent in the denominator: 232^323.23=2×2×2=8 2^3 = 2 \times 2 \times 2 = 8 23=2×2×2=8

STEP 5

Perform the division of the evaluated numerator by the evaluated denominator.18 \frac{1}{8} 81​

STEP 6

Apply the negative sign to the result of the division.−18 -\frac{1}{8} −81​ The simplified value of the expression is:−18\boxed{-\frac{1}{8}}−81​​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question $-\frac{1^{2}}{2^{3}}=$

1. The expression involves basic arithmetic operations: exponentiation and division.
2. The base numbers and exponents are integers.
3. The expression needs to be simplified to a single numerical value.

1. Evaluate the exponent in the numerator.
2. Evaluate the exponent in the denominator.
3. Perform the division.
4. Apply the negative sign.

Evaluate the exponent in the numerator: $1^2$ .
$1^2 = 1$

Evaluate the exponent in the denominator: $2^3$ .
$2^3 = 2 \times 2 \times 2 = 8$

Perform the division of the evaluated numerator by the evaluated denominator.
$\frac{1}{8}$

Apply the negative sign to the result of the division.
$-\frac{1}{8}$
The simplified value of the expression is:
$\boxed{-\frac{1}{8}}$