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Nonamiya [84]
3 years ago
12

What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3

Mathematics
1 answer:
joja [24]3 years ago
6 0

Given:

The expressions are

-6a^2b^{-1}

\dfrac{5}{y^{-3}}

To find:

The simplified form of each expression.

Solution:

We have,

-6a^2b^{-1}

=-6a^2(\dfrac{1}{b})      [\because x^{-n}=\dfrac{1}{x^n}]

=-\dfrac{6a^2}{b}

Therefore, the simplified form of -6a^2b^{-1} is -\dfrac{6a^2}{b}.

We have,

\dfrac{5}{y^{-3}}

=\dfrac{5}{\dfrac{1}{y^3}}      [\because x^{-n}=\dfrac{1}{x^n}]

=5\times \dfrac{y^3}{1}

=5y^3

Therefore, the simplified form of \dfrac{5}{y^{-3}} is 5y^3.

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Answer:

15 = 0.025

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Step-by-step explanation:

15.

I=prt

15= (200)(r)(3)

200(3) = 600r

15 divided by 600r = 40 (0.025)

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

16.

I=prt

t= \frac{I}{Ixp} \\t= \frac{90}{0.05x600} \\t= 3

t= 3 years

5 0
3 years ago
Evaluate the following expression if a=-9, b=-7,c=9 and d=3<br> 2cd + 3ab =
stepladder [879]

Answer:

<h3>The answer is 243.</h3>

Step-by-step explanation:

To evaluate the expression substitute the values of a , b , c and d into the above expression

a = - 9

b = - 7

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d = 3

So we have

2cd + 3ab = 2(9)(3) + 3(-9)(-7)

= 2(27) + 3( 63)

= 54 + 189

We have the final answer as

<h3>243</h3>

Hope this helps you

7 0
3 years ago
Describe what the notation upper p left parenthesis upper b vertical line upper a right parenthesis represents. choose the corre
morpeh [17]
The correct answer is b), the probability of B occurring given A has occurred.
8 0
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What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
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Step-by-step explanation:

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6 0
3 years ago
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