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3 years ago

List three ways to express 3^5 as a product of powers

Mathematics

1 answer:

eduard3 years ago

5 0

1st way- 3^2 * 3^3
2nd way- 3 * 3^4
3rd way- 3^0 * 3^5

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WILL GIVE BRAINLIEST!!!!

Vesna [10]

$(2^8 \times 5^{-5} \times 19^0)^{-2} \times (\dfrac{5^{-2}}{2^3})^4 \times 2^{28} =$

$= 2^{-16} \times 5^{10} \times 1 \times \dfrac{5^{-8}}{2^{12}} \times 2^{28}$

$= 2^{-16} \times 5^{10} \times 5^{-8} \times 2^{-12} \times 2^{28}$

$= 2^{-16} \times 2^{-12} \times 2^{28} \times 5^{10} \times 5^{-8}$

$= 2^{-16-12+28} \times 5^{10-8}$

$= 2^{0} \times 5^{2}$

$= 1 \times 25$

$= 25$

7 0

3 years ago

Add x^3 - 4x^2 + 1 to 3x^2 + x Show Your work!

Sladkaya [172]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's solve ~

$\qquad \sf \dashrightarrow \: (x {}^{3} - 4x {}^{2} + 1) + (3 {x}^{2} + x)$

$\qquad \sf \dashrightarrow \: {x}^{3} - 4 {x}^{2} + 1 + 3 {x}^{2} + x$

$\qquad \sf \dashrightarrow \: {x}^{3} - 4 {x}^{2} + 3x {}^{2} + x + 1$

$\qquad \sf \dashrightarrow \: {x}^{3} - {x}^{2} + x + 1$

6 0

2 years ago

Distributive property of 9*45

Mashutka [201]

9*45
= 9(40 + 5)
= 360 + 45
= 405

answer
Distributive property of 9*45 = 9(40 + 5)

8 0

3 years ago

Evaluate the expression for the given value of the variable.

Stels [109]

Answer:

4 * (3 + 5)

4 * 8

32

Step-by-step explanation:

5 0

2 years ago

Explain why 1/2 is not equivalent to 2/5.

juin [17]

Find ing the common denominator would make it 10.
for 1/2 to get to 10 you have to multiply by 5
1/2x5= 5/10
then you have to convert 2/5 to get the denominator to be 10
so you multiply 2/5 by 2
2/5x2= 4/10
5/10 is greater than 4/10

7 0

3 years ago

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