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Margarita [4]
3 years ago
13

Math: Please help me I don’t understand. Thank you for your time.

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

what you need with tho??


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If 9% of a number equals 30, find 27% of that number.
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Which answer shows the factored form of ―8+2―6 ?
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3 years ago
Multiplying Powers with the Same Base
Luda [366]

Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>
  • Base on the product rule for exponents, we have, a^m \times a^n = a^{m + n} = a^{mn}.
  • In order to find the products of two given numbers that have the same base, the exponents would be added together.

1. 5^6 \times 5^{-4

Add the exponents together

5^6 \times 5^{-4} = 5^{(6) + (-4)}

5^6 \times 5^{-4} = 5^2

2. 5 \times 5^3

Add the exponents together

5 \times 5^3 = 5^{(1 + 3)}

5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3}

Add the exponents together

5^{-3} \times 5^{-3} = 5^{(-3) + (-3)

5^{-3} \times 5^{-3} = 5^{-6

5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0

Add the exponents together

5^{-4} \times 5^{4} \times 5^0 = 5^{(-4) + (4) + (0)

5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3}

Add the exponents together

5^{7} \times 5^{3} = 5^{10}

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

Learn more about product rule of exponents on:

brainly.com/question/847241

5 0
2 years ago
2 to the negative 3rd power represented another way
Citrus2011 [14]

Answer:

1/8

Step-by-step explanation:

2^(-3) = (1/2)^3 = 1/2^3 = 1/8


5 0
3 years ago
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