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4 years ago

Which algebraic property could be used to rewrite 3x ⋅ (7y ⋅ 4) as (3x ⋅ 7y) ⋅ 4?

Mathematics

2 answers:

Reil [10]4 years ago

8 0

Associative property of <span>multiplication</span>

adelina 88 [10]4 years ago

7 0

Answer:

b Is the anwser I know this cause I took the test and got it right 8 hope u get a good grade

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Combine Radicals/Fractional Exponents

Crazy boy [7]

$\mathsf{Given :\;\;\dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{64x^3y^3}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{4^3x^3y^3}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{(4xy)^3}}}$

$\bigstar\;\;\textsf{We know that : \boxed{\mathsf{\sqrt[n]{a} = a^{\dfrac{1}{n}}}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{(4xy)^{\dfrac{3}{3}}}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{4xy}}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) \left(\dfrac{x^{\dfrac{-3}{2}}}{{x}}\right)\left(\dfrac{y^{-2}}{y}\right)}$

$\bigstar\;\;\textsf{We know that : \boxed{\dfrac{a^m}{a^n} = a^{m - n}}}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3}{2} - 1\right)}}y^{(-2 - 1)}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3 - 2}{2}\right)}}y^{-3}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-5}{2}\right)}}y^{-3}}$

$\textsf{Comparing the above with $\mathbf{ax^by^c}$, We can notice that :}$

$\bigstar\;\;\mathsf{a = \dfrac{5}{4}}$

$\bigstar\;\;\mathsf{b = \dfrac{-5}{2}}$

$\bigstar\;\;\mathsf{c = -3}$

$\implies \mathsf{Product\;of\;a,\;b\;and\;c = \left(\dfrac{5}{4}\times \dfrac{-5}{2} \times -3\right)}$

$\implies \mathsf{Product\;of\;a,\;b\;and\;c = \dfrac{75}{8}}$

7 0

3 years ago

Find the GCF of 3,14,5?

aliina [53]

Factors for 3: 1 and 3

Factors for 5: 1 and 5

Factors for 14: 1, 2, 7, and 14

6 0

3 years ago

Read 2 more answers

PLEASE ANSWER QUICKLY Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of her special homemade cookies how many bags of

snow_tiger [21]

Answer:

1 5/7 bags of flour to make three batches of cookies

Step-by-step explanatio

4 0

4 years ago

If a cell phone costs $225 and the accessories cost 13% of the cell phone price what is the cost of the accessories

andrezito [222]

The answer to your question is 29.25

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4 years ago

If the fence is open at a fifty-degree angle how much more angles until it flat on the wall

Alinara [238K]

Well flat means open so 180°
180° - 50° = 130° is the answer

4 0

3 years ago