Question

Can someone explain how to do this step by step toe get -3/8

Simplify the expression.

one half cubed − 4 ÷ square root of 64

negative thirty-one over sixty-four

negative three eighths

three eighths

thirty-one over sixty-four

Answer 1

Answer:

1. Change words into numbers, and solve:

One half cubed - 4 : square root of 64 is:


`image`

Tip: When dividing fractions, you have to multiply first number, by reverse of the second number. And one half, is half one one 0.5. And next tip when exponentiating 0.5, you can:

0.5 * 0.5 = 0. (And then you multiply 5 by 5), you get 0.25, and the to 3rd power:
0.25 * 0.5 = 0.(and 25 * 5), you get 0.125.

Hope this helps!

Answer 2

(b) -3/8

Explanation:

You want to evaluate (1/2)³ -4/√64.

Exponents

The first step in evaluating the expression is to evaluate the terms with exponents. Those are (1/2)³, which has an exponent of 3, and √64, which has an exponent of 1/2. After that, the fractions are added in the usual way.

`\left((1)/(2)\right)^3-(4)/(√(64))=(1\cdot1\cdot1)/(2\cdot2\cdot2)-(4)/(√(8^2))=(1)/(8)-(4)/(8)\\\\\\=(1-4)/(8)=\boxed{-(3)/(8)}\qquad\text{matches choice B}`

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Additional comment

A root is equivalent to a fractional power: √a = a^(1/2). ∛a = a^(1/3).

The "divided by" symbols (÷, /) both have the same meaning. In images of math expressions, the ÷ symbol is often confused with the + symbol. Poor image focus makes this confusion more likely.

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