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aleksandr82 [10.1K]
2 years ago
10

Simplify the monomials

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
7 0

Answer:

(4a)^{-3}*^{-4}

x^m*x^n=x^{m+n}

(4a)^{-3}*a^{-4}

(-4)^{-3}\: a^{-3}*a^{-4}

4^{-3}\:a^{-3-4}

\cfrac{1}{4^3} \:a^{-7}

\boxed{\frac{1}{64a^{7}} }

~

(3xy)^2*(-4x^3y^2)^3

9x^2y^2*(64x^9y^6)

\boxed{-576x^{11}y^8}

~

(4a^{-1}b^5c^{-3})^3

(4)^3(a^{-1})^3(b^5)^3(c^{-3})^3

(4*4*4)\:a^{-1*3}\:b^{5*3}\:c^{-3*3}

64\:a^{-3}b^{15}c^{-9}

\boxed{\frac{64b^{15}}{a^3c^9}}

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The spinner shown is spun 300 times.
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A) 60

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C) 150

Step-by-step explanation:

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2 years ago
monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cup is 8 centimeters tall.She star
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Answer:

(a)205

(b)5 Packages

Step-by-step explanation:

\text{One gallon is equivalent to 3785 } cm^3

Therefore: \text{10 gallon= 3785X 10 =37850 } cm^3

Therefore, Volume of the lemonade Monica Started with is \text{37850 } cm^3

The diameter of the cup =8cm

Therefore, Radius =8/2 =4cm

Height of the Cup =11cm

Volume of a Cone=\frac{1}{3}\pi r^2 h

\text{Volume of the Cup}=\frac{1}{3}\pi *4^2*11 \\=184.31cm^3

The number of cups needed to empty the 10 gallon cooler =37850÷184.31

=205.36

\approx 205 Cups

(b)If the Cups are sold in packages of 50

Number of Package to be bought =205 ÷ 50 =4.1

She would need to buy 5 packages.

5 0
3 years ago
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