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>

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What is the sum of this infinite series? 100+60+36+(108/5)

fomenos

205 i think is the answer

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4 years ago

A school is designing two rectangular parking lots. The second parking lot is being designed so that its perimeter is 3/4 of per

Nataly [62]

The perimeter of second plot is 180 feet

<em><u>Solution:</u></em>

Given that,

The second parking lot is being designed so that its perimeter is 3/4 of perimeter of the first parking lot

<h3><u>Find the perimeter of first plot:</u></h3>

Perimeter = 2(length + width)

From given figure in question,

length = 40 feet

width = 80 feet

Therefore,

Perimeter = 2(40 + 80)

Perimeter = 2(120) = 240

Thus, we got,

Perimeter of first parking plot = 240 feet

Also, given that,

$\text{Perimeter of second plot }= \frac{3}{4} \times \text{Perimeter of first parking plot}\\\\\text{Perimeter of second plot }= \frac{3}{4} \times 240\\\\\text{Perimeter of second plot }= 180$