Question

Simplify the expression.

16(1/2x)^4
The simplified expression is

Answer 1

`\large\boxed{\mathtt{x^(4)}}`

Explanation:

`\textsf{We are asked to simplify the expression.}`

`\large\underline{\textsf{According to PEMDAS;}}`

`\textsf{We should first remove the exponent by multiplying the values in the parentheses}`

`\textsf{by themselves 4 times.}`

`\tt (x+1)^(4)=(x+1)*(x+1)*(x+1)*(x+1)`

`\textsf{Evaluate the product, then multiply that product by 16.}`

`\large\underline{\textsf{Remember that PEMDAS is;}}`

`\textsf{Parentheses first; (?)}`

`\textsf{Exponents next;} \ \tt y^(2)`

`\textsf{Multiplication or Division next;} \ \mathtt{ * / /}`

`\textsf{Addition or Subtraction last;} \ \mathtt{ +/-}`

`\textsf{PEMDAS is \underline{always} in this order.}`

`\large\underline{\textsf{For our Expression;}}`

`\tt 16((1)/(2) x)^(4)`

`\underline{\textsf{This expression is the same as;}}`

`\tt 16 * ((1)/(2)x * (1)/(2)x * (1)/(2)x * (1)/(2)x)`

`\textsf{According to PEMDAS, simplify what's in the parentheses first.}`

`\underline{\textsf{We should have;}}`

`\tt 16 * ((1)/(16)x^(4))`

`\textsf{16 and 1/16 are reciprocals, so they \underline{cancel} each other out.}`

`\large\underline{\textsf{Hence, our final answer should be;}}`

`\large\boxed{\mathtt{x^(4)}}`