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3 years ago

10% as a decimal? Just want to make sure I'm correct

Mathematics

2 answers:

shutvik [7]3 years ago

7 0

10% as a decimal would be .10

Nina [5.8K]3 years ago

5 0

The answer is .10
I hope i helped you out!

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Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

3 years ago

Answer quickly and explain and show work

Nezavi [6.7K]

Answer:

Susie is correct the function is x times itself = y.

6 0

3 years ago

Read 2 more answers

The quotient of n and 12 subtracted from 100?

Korvikt [17]

Answer:

100 - 12/n

Step-by-step explanation:

quotient means division so

12/n

and subtracted from means say x - 12/n so

100 - 12/n

If you're looking to evaluate it then it would be

4(25n - 3) / n

5 0

3 years ago

Toni bought 5 t-shirts for 35 if each T-shirt cost the same amount .how much tony would pay for20 shirts

Sergeeva-Olga [200]

Answer: The answer is Toni can buy 20 tee shirts for 140 dollars

Step-by-step explanation:

First you find out how many times 5 can go into 20

Next you see that 5 can go into 20, 4 times so you take the 35 and multiply 4 and you get 140 so you can buy 20 tee shirts for 140 dollars.

8 0

3 years ago

Rita is hiking along a trail that is 13.8 miles long. So far she has hiked along one-tenth of the trail.

vichka [17]

Rita has hiked 1.38 miles so far.

Step-by-step explanation:

Given,

Total length of the hiking trail = 13.8 miles

Distance covered by Rita so far = $\frac{1}{10}\ of\ the\ trail$

Distance covered in miles = $\frac{1}{10}*13.8$

Distance covered in miles = 1.38 miles

Rita has hiked 1.38 miles so far.

Keywords: fraction, division

Learn more about fractions at:

#LearnwithBrainly

4 0

3 years ago