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Oduvanchick [21]
3 years ago
9

Simplify 7^-5/6*7^-7/6

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

So the rule with multiplying exponents of the same base is x^m*x^n=x^{m+n} . Apply this rule here:

7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}

Next, the rule with converting negative exponents into positive ones is x^{-m}=\frac{1}{x^m} . Apply this rule here:

7^{-2}=\frac{1}{7^2}=\frac{1}{49}

<u>Your final answer is 1/49.</u>

<h2>------------------------------------------------</h2>

So an additional rule when it comes to exponents is x^{\frac{m}{n}}=\sqrt[n]{x^m}

In this case, your fractional exponent, x^9/7, would be converted to \sqrt[7]{x^9} . However, I had just realized you can further expand this.

Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:

\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}

Your final answer would be x\sqrt[7]{x^2}

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Answer:

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8 0
3 years ago
Two lines, A and B, are represented by the equations given below: Line A: y = x − 6 Line B: y = 3x + 4 Which of the following sh
nadezda [96]

The solution to the system of linear equations is: (−5, −11).

<h3>What is the Solution to the System of Linear Equations?</h3>

The solution to a system is the x and y -coordinates that satisfies the two linear equations.

Given the linear equations:

Line A: y = x − 6

Line B: y = 3x + 4

Now, equating these two equations

x - 6 = 3x + 4

2x = -10

x = -5

y = -11

Hence, the solution is: (−5, −11), because the point satisfies both equations.

Learn more about solution to a system here:

brainly.com/question/13729904

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8 0
2 years ago
Find the length of k.
iren2701 [21]

Step-by-step explanation:

K=4

I think so

have a great day ahead

7 0
3 years ago
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Solve the rational equation 5 divided by x equals quantity 4 times x plus 1 end quantity divided by x squared, and check for ext
lakkis [162]

Answer:

x =1,   x = 0 is extraneous.

Step-by-step explanation:

5/x = 4x + 1 / x^2

5x^2 = 4x^2 + x

5x^2 - 4x^2 - x = 0

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x is not a solution because 5/x is undefined.

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3 years ago
The watermelon bought by Peter is 3 times as heavy as the papaya bought by Paul. If the watermelon bought by Peter has a mass of
Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

4.2×3=12.6

I hope this answer can help you

5 0
2 years ago
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