Question

how to solve 10 + (2 × 3)^2 ÷ 4 × (1/2)^3

Answer 1

Answer:

11.125

Step-by-step explanation:

$10 + {(2 \times 3)}^{2} \div 4 \times {( \frac{1}{2}) }^{3}$

To raise a product to a power, raise each factor to that power

$= 10 + 4 \times 9 \div 4 \times {( \frac{1}{2} )}^{3}$

To raise a fraction to a power, raise the numerator and denominator to that power

$= 10 + 4 \times 9 \div 4 \times \frac{1}{8}$

Any expression divided by itself equals 1

$= 10 + 1 \times 9 \times \frac{1}{8}$

Any expression multiplied by 1 remains the same

$= 10 + 9 \times \frac{1}{8}$

Calculate the product

$= 10 + \frac{9}{8}$

Write all numerators above the common denominator

$= \frac{80 + 9}{8}$

Add the numbers

$= \frac{89}{8}$

Divide

$= 11.125$

Hope this helps..

Best regards!!

Answer 2

Answer:

11 1/8

Step-by-step explanation:

Okay so I messed up big time. So I had to edit this! I am really sorry if you read mine before. I fixed mine. So this is the right answer. Sorry!