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natima [27]
3 years ago
14

1/3 exponent 4 write your answer as a fraction in simplest form.

Mathematics
1 answer:
Pie3 years ago
5 0
1/3*1/3*1/3*1/3=1/81
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Help! <br> Which expression is equivalent? <br> On edge
Ira Lisetskai [31]

Answer: Choice B

x^{1/8}y^{8}

======================================================

Explanation:

The two rules we use are

(a*b)^c = a^c*b^c

(a^b)^c = a^{b*c}

When applying the first rule to the expression your teacher gave you, we can say that:

\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}

Then applying the second rule lets us say

\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}

Therefore,

\left(x^{1/4}y^{16}\right)^{1/2}  = x^{1/8}y^{8}

-------------

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

7 0
3 years ago
The product of a number and -7/10 is 1/2<br> What is the number?
kirza4 [7]
1/2*5
5/10+-7/10
-2/10
4 0
3 years ago
What percent is the change in the price if the price was $100 and now it is $1250?
Vsevolod [243]

Answer:

  1150%

Step-by-step explanation:

The percentage change is ...

  percentage change = (amount of change)/(original amount) × 100%

  = ((new amount) - (original amount))/(original amount) × 100%

  = ($1250 -$100)/$100 × 100%

  = 1150/100 × 100%

  = 1150%

6 0
3 years ago
Read 2 more answers
Mary bought a pair of jeans on sale for 25% off. The original price for jeans was $79. What was the sale price before tax? Expla
TEA [102]
<h3>Answer:  $59.25</h3>

========================================================

Explanation:

There are two approaches

Method 1

25% of 79 = 0.25*79 = 19.75

Mary saves $19.75 and the price before tax is 79 - 19.75 = 59.25

-----------------------------

Method 2

She saves 25% so she must pay the remaining 75%

75% of 79 = 0.75*79 = 59.25

This is a slight shortcut, and it's very useful when it comes to chaining multiple discounts together.

5 0
2 years ago
PLEASE HELP!
Oksana_A [137]

Answer:

Plumber A

C. y=(150+40)x

Plumber B

B. y=40x+150

5 0
2 years ago
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