Use the properties of exponents to simplify the expression: 25 3/2

Mathematics

1 answer:

HACTEHA [7]3 years ago

8 0

<h2><em>For any Real numbers a , b , c with a > 0 we find:</em></h2><h2><em>a ^b c = ( a ^b )^ c</em></h2><h2><em>In our example, </em></h2><h2><em>25 = 5 ^2 , so we find:</em></h2><h2><em>=25 ^3/ 2 </em></h2><h2><em>= ( 5^ 2 ) 3/ 2 </em></h2><h2><em>= 5 ^2 ⋅ 3 /2</em></h2><h2><em> = 5^ 3 </em></h2><h2><em>= 125</em></h2>

You might be interested in

What is the first step in solving, 3x - 12y=5 3y -x=9, using the elimination method

mote1985 [20]

3x-12y = 5
-x+3y = 9

First step is to make the coefficient of either x or y same.

3x-12y = 5
(-x+3y = 9)3

3x-12y = 5
-3x+9y = 27

-4y = 32
y = -8

3 0

3 years ago

What is the value of b?

NeX [460]

Answer:

C. 42

Step-by-step explanation:

7 0

2 years ago

Write 0.0029 as a percentage

Pavlova-9 [17]

The answer is 0.29%. Hope that helps

4 0

2 years ago

What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56What is the value of x in the eq

AleksAgata [21]

Answer:

–52

Step-by-step explanation:

Clear the fractions, then add 2.

$\dfrac{1}{3}x-\dfrac{2}{3}=-18\\\\x-2=-54\qquad\text{multiply by 3}\\\\\boxed{x=-52}\qquad\text{add 2}$

5 0

2 years ago

Read 2 more answers

How to change decimal to a fraction

Ksju [112]

Put the number that the decimal is over the place that it is in
example
.5
every space after the decimal is multiplied by 10
tenths place 0.1
hundreths 0.01
thousanths 0.001
etc
so .5 is in the tenths place so the fraction would be 5/10
the decimal is now converted into a fraction

another example
.07 is in the hundreths so it would be 7/100

final example
.25 is in the hundredths place since the last number lands on the hundreths column
it would be 25/100

if possible you can simplify if that is what is needed

3 0

3 years ago