Question

complete the example below. then solve problems 1–10.
example
write an expression that is equal to 36 using each number and symbol below exactly one time in the expression.
5 8 8 ² ÷ + ( )
look at how you could use reasoning and the order of operations to make an expression whose value is 36.
i know that 6 × 6 = 36, and that 6² = 36.
that means i can use 5, 8, 8, ÷, and + to write an expression with a value of 6. then i can put parentheses around the expression and square it to make 36.
i know that 8 ÷ 8 = 1 and 5 + 1 = 6.
solution
apply it
1 what is the value of the expression (0.1)³? show your work.

Explanation:

Step1: Recall exponent definition

An exponent \(a^n\) means \(a\times a\times\cdots\times a\) (n times). So \((0.1)^3 = 0.1\times0.1\times0.1\).

Step2: Multiply step - by - step

First, calculate \(0.1\times0.1 = 0.01\). Then, multiply the result by \(0.1\): \(0.01\times0.1=0.001\).

Answer:

The value of \((0.1)^3\) is \(0.001\).