Math / Numbers & Operations

QuestionEvaluate the expression. $8^{2} \div\left(7+1^{3}\right)$ $\square$

Studdy Solution

STEP 1

1. The expression to evaluate is $8^{2} \div (7 + 1^{3})$ .
2. Follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

1. Evaluate the exponent inside the parentheses.
2. Evaluate the expression inside the parentheses.
3. Evaluate the exponent outside the parentheses.
4. Perform the division.

STEP 3

Evaluate the exponent inside the parentheses:
$1^{3} = 1$

STEP 4

Evaluate the expression inside the parentheses:
$7 + 1 = 8$

STEP 5

Evaluate the exponent outside the parentheses:
$8^{2} = 64$

STEP 6

Perform the division:
$64 \div 8 = 8$
The value of the expression is:
$\boxed{8}$

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QuestionEvaluate the expression. $8^{2} \div\left(7+1^{3}\right)$ $\square$

Studdy Solution

STEP 1

1. The expression to evaluate is $8^{2} \div (7 + 1^{3})$ .
2. Follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

1. Evaluate the exponent inside the parentheses.
2. Evaluate the expression inside the parentheses.
3. Evaluate the exponent outside the parentheses.
4. Perform the division.

STEP 3

Evaluate the exponent inside the parentheses:
$1^{3} = 1$

STEP 4

Evaluate the expression inside the parentheses:
$7 + 1 = 8$

STEP 5

Evaluate the exponent outside the parentheses:
$8^{2} = 64$

STEP 6

Perform the division:
$64 \div 8 = 8$
The value of the expression is:
$\boxed{8}$

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QuestionEvaluate the expression. 82÷(7+13)8^{2} \div\left(7+1^{3}\right)82÷(7+13) □\square□

Studdy Solution

STEP 1

1. The expression to evaluate is 82÷(7+13)8^{2} \div (7 + 1^{3})82÷(7+13).2. Follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

1. Evaluate the exponent inside the parentheses.2. Evaluate the expression inside the parentheses.3. Evaluate the exponent outside the parentheses.4. Perform the division.

STEP 3

Evaluate the exponent inside the parentheses:13=1 1^{3} = 1 13=1

STEP 4

Evaluate the expression inside the parentheses:7+1=8 7 + 1 = 8 7+1=8

STEP 5

Evaluate the exponent outside the parentheses:82=64 8^{2} = 64 82=64

STEP 6

Perform the division:64÷8=8 64 \div 8 = 8 64÷8=8 The value of the expression is:8\boxed{8}8​

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QuestionEvaluate the expression. $8^{2} \div\left(7+1^{3}\right)$ $\square$

1. The expression to evaluate is $8^{2} \div (7 + 1^{3})$ .
2. Follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

1. Evaluate the exponent inside the parentheses.
2. Evaluate the expression inside the parentheses.
3. Evaluate the exponent outside the parentheses.
4. Perform the division.

Evaluate the exponent inside the parentheses:
$1^{3} = 1$

Evaluate the expression inside the parentheses:
$7 + 1 = 8$

Evaluate the exponent outside the parentheses:
$8^{2} = 64$

Perform the division:
$64 \div 8 = 8$
The value of the expression is:
$\boxed{8}$