Question

calculate 20^1/2*5^3/2

Answer 1

Answer:

$\Huge \boxed{625}$

Step-by-step explanation:

To solve this problem, first you use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right. Remember to use the order of operations it stands for Please Excuse My Dear Aunt Sally!

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

First, exponent.

$\displaystyle 20^1=20$

$5^3=5*5*5=125$

$\displaystyle 20\div2* 125\div2$

Next, multiply & divide numbers from left to right.

$\displaystyle 20\div2=10$

$\displaystyle 10*125\div2$

$\displaystyle 10*125=1250$

$\displaystyle 1250\div2=\boxed{625}$

As a result, the correct answer is 625.