Math

QuestionSimplify the expression: 4+8÷416\frac{4+8 \div 4}{1^{6}}. Is it A. 4+8÷416=\frac{4+8 \div 4}{1^{6}}= or B. undefined?

Studdy Solution

STEP 1

Assumptions1. The given expression is 4+8÷416\frac{4+8 \div4}{1^{6}} . The operations in the expression should be performed following the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

STEP 2

First, we need to simplify the numerator of the fraction. According to the order of operations, we should perform the division before the addition.
umerator=4+8÷4umerator =4 +8 \div4

STEP 3

Now, perform the division in the numerator.
umerator=+2umerator = +2

STEP 4

Next, perform the addition in the numerator.
umerator=6umerator =6

STEP 5

Now, we need to simplify the denominator of the fraction. The denominator is 11^{}, which means1 multiplied by itself times.
Denominator=1Denominator =1^{}

STEP 6

Calculate the value of the denominator.
Denominator=1Denominator =1

STEP 7

Now that we have the simplified numerator and denominator, we can write the simplified fraction.
umeratorDenominator=61\frac{umerator}{Denominator} = \frac{6}{1}

STEP 8

Finally, simplify the fraction by dividing the numerator by the denominator.
61=6\frac{6}{1} =6So, the simplified expression is6.

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