3 years ago

My friend wants to know how to solve this problem

Mathematics

1 answer:

Molodets [167]3 years ago

6 0

If the explanation below helps you, please consider making my answer brainliest as it helps me out.

Explanation:

16•12•8 = 1,536

1,536/3 = 512

512 • 2 = 1,024

The answer is C.

Hope this helps!

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If w = t and t = 9, what is the value of w? –9 –1 1 9

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Answer:

Step-by-step explanation:

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Given: 3x + y = 1 Solve for y. A. y=-3x + 1 B. y=-3x - 1 C. y= 3x - 1

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3 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

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Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

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324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

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