All categories

3 years ago

Simplify and express in exponential form: 8^-1 * 3^3/ 2^-4 * 9^-2

Mathematics

2 answers:

Yuri [45]3 years ago

5 0

Answer:

2^1* 3^7

Step-by-step explanation:

8^-1 * 3^3/ 2^-4 * 9^-2

Negative exponents move from the numerator to the denominator or from the denominator to the numerator

2^4*9^2* 3^3 /8^1

Rewriting 9^2 as 3^2^2 = 3^4 and 8 = 2^3

2^4 * 3^3 * 3^4 / 2^3

2^4/ 2^3 = 2 and 3^3 * 3^4 = 3^(3+4) = 3^7

2* 3^7

sashaice [31]3 years ago

3 0

Answer:

Step-by-step explanation:

$\frac{8^{-1}*3^{3}}{2^{-4}*9^{-2}}=\frac{(2^{3})^{-1} * 3^{3}}{2^{-4}*(3^{2})^{-2}}\\\\=\frac{2^{3*-1}*3^{3}}{2^{-4}*3^{2*-2}}\\\\=\frac{2^{-3}*3^{3}}{2^{-4}*3^{-4}}\\\\=2^{-3+4}*3^{3+4}\\\\=2^{1}*3^{7}\\\\=2*3^{7}$

You might be interested in

A pair of jeans was in a 15% off sale but, when Bill came to buy them a month later, the sale was over and he had to pay the reg

kkurt [141]

Answer:

10.5

Step-by-step explanation: if he got the pants on sale the price would be 59.5 becuase 70*15%=10.5 and u would subtract 70-10.5=59.5

70-59.5=10.5

4 0

3 years ago

Read 2 more answers

The weight of a boy was 15kg last year. If his weight increases by 3kg this year, find the percentage increase in his weight.

WARRIOR [948]

This year = 18kg
18 x .3= 5.4
The percentage change would be 5.4%. If it needs to be rounded by the nearest tenth, then it would be 5%.
I’m pretty confident this is the answer but I’m not 100% sure. I hope this helps!

4 0

2 years ago

In the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?

o-na [289]

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

$4x+7y=9$ [subtract both sides by 4x]

$7y=-4x+9$ [divide both sides by 7]

$y=-\frac{4}{7}x+\frac{9}{7}$

Now, we know the slope is -4/7.

5 0

3 years ago

Simplify the following rational expression and express in expanded form.

VladimirAG [237]

Answer:

D m = $-\frac{3}{8}$

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> $\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}$

=> $-\frac{2m + 1}{8m + 3}$

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> $-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}$ = $-\frac{2m + 1}{-3 + 3}$ = $-\frac{2m + 1}{0}$

in this case, the values of m from option D make the denominator of the fraction equals 0.

6 0

3 years ago

Which term can be added to the list so that the greatest common factor of the 3 terms is 12h3

sashaice [31]

The term that can be added to the list so the GCF is 12h3 would be 48h5.
The reason being is that 48 is first divisible by 12 and does not yield a fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

3 0

4 years ago

Read 2 more answers