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Lapatulllka [165]
3 years ago
7

What is the radical form of the expression? (5x3y4)37 ↡

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Step-by-step explanation:

Given expression is:

(\sqrt{5x^3y^4})^{\frac{3}{7}

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number

so,

in case of 3/7, it will be broken down

(\sqrt{5x^3y^4})^{3*\frac{1}{7}}

The 1/7 will be converted into base of radical while 3 will be he exponent

\sqrt[7]{(5x^3y^4)^3}

Multiplying exponents

=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}

Hence,

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Keywords: Radicals, Exponents

Learn more about exponents at:

  • brainly.com/question/4939434
  • brainly.com/question/4980053

#LearnwithBrainly

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3 years ago
Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=
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Answer:

\frac{1}{3}

Step-by-step explanation:

Given

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5 0
2 years ago
Could someone help me understand how to solve this?
monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula I=P\cdot r\cdot t, where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

P_1=x\\ \\r_1=0.04\\ \\t_1=1,

then

I_1=x\cdot 0.04\cdot 1=0.04x

<u>5% account:</u>

P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,

then

I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)

You have earned $69.50 in total, so

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Amount in 4% account: $550

Amount in 5% account: $950

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