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4 years ago

Which of the following is equivalent to (a^1/2*b^1/3)^1/2?

Mathematics

1 answer:

-BARSIC- [3]4 years ago

3 0

Answer:

a^1/4*b^1/6

Step-by-step explanation:

Distribute the 1/2 exponent by multiplying 1/2 by the exponents of the variables

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Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal:

vesna_86 [32]

Consider the expression $(8.1\cdot 10^{-4})^2.$

Use main properties for powers:

1. $(a\cdot b)^m=a^m\cdot b^m;$

2. $(a^m)^n=a^{m\cdot n};$

3. $a^m\cdot a^n=a^{m+n}.$

Then

$(8.1\cdot 10^{-4})^2=8.1^2\cdot (10^{-4})^2=65.61\cdot 10^{-4\cdot 2}=65.61\cdot 10^{-8}=6,561\cdot 10^{-2}\cdot 10^{-8}=6,561\cdot 10^{-10}.$

The result in scientific notation is $6,561\cdot 10^{-10}.$

The result as a decimal is $0.0000006561.$

6 0

3 years ago

3. Look at the map. Explain why Elm Street and Birch Street are not perpendicular.

Temka [501]

Answer:

A. The slope of Birch Street is 0. To be perpendicular to Elm, Birch would have to have a slope of negative 4/7.

Step-by-step explanation:

I had this same question on Gradpoint and got it correct.

4 0

3 years ago

Write an equivalent expression for the following

Llana [10]

Answer:

6x, 2x + 4, 5y + 11

Step-by-step explanation:

x + x + x + 2x + x = 6x

(x + 2) + (x + 2) = 2x + 4

y + y + y + y + 10 + y + 1 = 5y + 11

6 0

3 years ago

Find the unit rate.

Sindrei [870]

Answer:

I believe the answer is 162 per season is the unit rate , I am really sorry if I am wrong.

3 0

3 years ago

EFGH is a parallelogram. Find the measure of FG.

Elan Coil [88]

Answer:

FG = 47

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

EH = FG, that is

5z - 18 = 3z + 8 ( subtract 3z from both sides )

2z - 18 = 8 ( add 18 to both sides )

2z = 26 ( divide both sides by 2 )

z = 13

Hence

FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47

4 0

3 years ago