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Tresset [83]
3 years ago
10

What is the simplified expression for 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the powe

r of 2 whole over 3 to the power of 5 multiplied by 4 to the power of negative 2?
a. 3 over 4

b. 4 over 3

c. 4 to the power of 2 over 3

d. 3 to the power of 3 over 4
Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Writing out: 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the power of 2 whole over 3 to the power of 5 multiplied by 4 to the power of negative 2

(4^(-3) * 3^4 * 4*2) / (3^5 * 4^(-2))

= (4^(-3+2) * 3^4) * 3^(-5) * 4^2

= 4^(1) * 3^(-1)

= 4/3

b. 4 over 3


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Answer:

Option A is correct

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Step-by-step explanation:

She want to build a right angle frame

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Since the vertical height of board is 12ft

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Then the beam that support the two beams which also form the hypotenuse is give as

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x²=12²+15²

x²=144+225

x²=369

x=√369

x=19.2ft

Then the beam support is 19.2ft

To get the angle of the beam support to the horizontal

Applying trigonometric

Tanθ=opposite / adjacent

Tanθ= vertical / horizontal

Tanθ=12/15

Tanθ=0.8

θ=arctan(0.8)

θ=36.7°

This shows that it is an acute triangle.

We are told that the support beam is 20ft but this is not true because the support beam is calculated to be 19.2ft,

So, 0.8ft must be removed from the 20ft support beam to create the right angle.

Then, the best option is a

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Solution:

Given expression is (6x + 4y) –2y.

To find the equivalent expression for the given expression.

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