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grandymaker [24]
3 years ago
6

How is the following written with only one exponent?a^3 . a^5​

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

The expression 103 is called the exponential expression. ... The exponent applies only to the number that it is next to. ... If −3 is to be the base, it must be written as (−3)4, which means −3 • −3 • −3 ... From row 1 to row 2, the exponential form goes from 105 to 104. ... Following the pattern, you see that 100 is equal to 1.

Step-by-step explanation:

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The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What
solmaris [256]
<h3><u>Solution</u></h3>

<u>Given </u><u>:</u><u>-</u>

  • Perimeter of rectangle = 72 cm
  • The length is 3 more than twice the width.

<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>

  • Dimensions of rectangle
<h3 /><h3><u>Explantion</u></h3>

<u>Using </u><u>Formula</u>

\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}

<u>Let,</u>

  • Length of Rectangle = x cm
  • Breadth of Rectangle = y cm

<u>According</u><u> to</u><u> question</u><u>,</u>

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

<u>Again,</u>

==> x = 2y + 3

==> x - 2y = 3__________________(2)

<u>Subtract</u><u> </u><u>equ(</u><u>1</u><u>)</u><u> </u><u>&</u><u> </u><u>equ(</u><u>2</u><u>)</u>

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

<u>keep </u><u>in </u><u>equ(</u><u>1</u><u>)</u>

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3><u>Hence</u></h3>

  • <u>Length</u><u> of</u><u> </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>2</u><u>5</u><u> </u><u>cm</u>
  • <u>Width </u><u>of </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u> </u><u>cm</u>

<h3><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h3>

<h3 />

7 0
3 years ago
What is the value of ?<br> 18 - (2 x ? ) = ? x 4
Dmitry_Shevchenko [17]

Answer:

?= 3

Step-by-step explanation:

let x = ?

18-2x=4x

6x=18x

x=3

6 0
3 years ago
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Suppose that during one period extreme cold,the average daily temperature decreased 1 1/2 F each day. How many days did it take
Alenkasestr [34]

We have been given that during one period extreme cold, the average daily temperature decreased 1\frac{1}{2} degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.

First of all we will convert our mixed fraction into improper fraction.

1\frac{1}{2}=\frac{3}{2}

Now we will divide total temperature change (9) by average daily temperature change (\frac{3}{2}) to find number of days.

9\div\frac{3}{2}

Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.

9\cdot\frac{2}{3}

3\cdot2=6

Therefore, it will take 6 days for the temperature to decrease by 9 degree F.

7 0
3 years ago
Fran’s store spent $64,000 on expenses last year. Rent of the store was 35% of those expenses .How much did Fran spend on rent.
andrezito [222]

Answer:

$22400

Step-by-step explanation:

multiply 64000 with 0.35 (35%)

6 0
3 years ago
Which expression is equivalent to Assume x &gt; 0 and y 0.
Svetach [21]

we have

\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}}

we know that

\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}} =\sqrt{\frac{55}{11}\frac{x^{7}}{x^{11}}\frac{y^{6}}{y^{8}}} \\ \\= \sqrt{\frac{5}{x^{4} y^{2}}} \\ \\ =\frac{\sqrt{5}}{x^{2} y}

therefore

<u>the answer is</u>

The expression equivalent is  \frac{\sqrt{5}}{x^{2} y}

3 0
3 years ago
Read 2 more answers
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