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2 years ago

6. At Louis Armstrong School, Ms. Turini's

Mathematics

1 answer:

34kurt2 years ago

7 0

A. 3:2
b. 2:3
c. 3:5
d. 5:3

My answers are simplified

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densk [106]

Answer:

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Step-by-step explanation:

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3 years ago

Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

2 years ago

What is the weight of one half of two thirds of a sack of rice? The sack of rice weighs 99 kilograms.

Eddi Din [679]

First you need to find what 2/3 equals
to do this, take 99 divided by 3
99/3=33

if 1/3 equals 33, two thirds would be 33x2
33x2=66

now, you need to find 1/2 of 66. this can be done 2 different ways

1. 66 divided by 2 - 66/2=33
OR
2. 66 x 1/2 = 33 OR 66 x .5 = 33

The answer is 33 kilograms

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3 years ago

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She will give 1/9 pound of clay to each student

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2 years ago

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