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3 years ago

Communicate Mathematical Ideas Why do you subtract exponents

Mathematics

1 answer:

zysi [14]3 years ago

5 0

Answer:

We subtract exponents when diving powers with the same base because they eventually get canceled out when written in expanded form.

Step-by-step explanation:

For example, if we expand the given fractions:

10^3/10^1 = 1000/10 = 100 = 10^2

Now, if we subtract the exponents we get the same result.

10^3-1 = 10^2

So, a^m/a^n = a^m-

n is one of the exponent rules which saves time and makes calculation easier.

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Jarvis invested some money at 6% interest. Jarvis also invested $58 more than 3 times that amount at 9%. How much is invested at

DerKrebs [107]

9514 1404 393

Answer:

$3309 at 6%
$9985 at 9%

Step-by-step explanation:

Let x and y represent amounts invested at 6% and 9%, respectively.

y = 3x +58 . . . . . . . the amount invested at 9%

0.06x +0.09y = 1097.19 . . . . . . total interest earned

Substituting for y, we have ...

0.06x +0.09(3x +58) = 1097.19

0.33x + 5.22 = 1097.19 . . . . . . . . . simplify

0.33x = 1091.97 . . . . . . . . . . . . subtract 5.22

x = 3309 . . . . . . . . . . . . . . . . divide by 0.33

y = 3(3309) +58 = 9985

$3309 is invested at 6%; $9985 is invested at 9%.

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3 years ago

Which of the following choices represents the area of the figure below?

Agata [3.3K]

Answer:

x^2-16

Step-by-step explanation:

A= (b)(h)

A= (x+4)(x-4)

x^2-4^2

x^2-16

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3 years ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Naya [18.7K]

It's a geometric sequence.

$4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n$

It's the sum for term 4 through term 15.

$\boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}$

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3 years ago

Sonia read 2 pages of book per minute. If sonia read all the pages of the book at the same rate, which equation shows the tital

Fudgin [204]

2x=y
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3 years ago