Question Video: Using Order of Operations to Evaluate Numerical Expressions Involving Exponents | Nagwa Question Video: Using Order of Operations to Evaluate Numerical Expressions Involving Exponents | Nagwa

# Question Video: Using Order of Operations to Evaluate Numerical Expressions Involving Exponents Mathematics • First Year of Preparatory School

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Calculate 4² ÷ 3 × 4.

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### Video Transcript

Calculate four squared divided by three multiplied by four.

In order to calculate this expression, we need to recall the order of operations. One way of doing this is using the acronym PEMDAS. We recall the letters stand for parentheses, exponents, multiplication, division, addition, and subtraction, respectively. Note that this can also be written in four steps by grouping multiplication and division, as well as addition and subtraction, as these can be done in either order.

Returning to this question, we note that there are no parentheses or brackets in the expression. The first part of our expression contains an exponent, so we will calculate four squared first. We know that four squared equals 16. So, our expression simplifies to 16 divided by three multiplied by four.

Whilst multiplication is above division in the acronym PEMDAS, when there is more than one of these operations, convention dictates that we work from left to right. As such, we perform 16 divided by three first. We therefore need to multiply sixteen thirds by four, which is equal to sixty-four thirds.

Four squared divided by three multiplied by four is equal to sixty-four thirds.

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