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3 years ago

Express 32^3 with a base of 2.

Mathematics

1 answer:

Assoli18 [71]3 years ago

8 0

Answer:

2^(15)

Step-by-step explanation:

32³ wants to be expressed in base 2.

Now,let's express 32 in terms of 2. This gives; 32 = 2 × 2 × 2 × 2 × 2.

This means 32 = 2^(5)

Thus; 32³ = (2^(5))³

In indices the 5 will multiply the 3 to give;

32³ = 2^(15)

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3 years ago

Which rational exponent represents a square root? A. 1 / 2 B. 3/2 C. 1/3 D. 1/4

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Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. $\frac{1}{2}$ is the same

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so $x^{\frac{1}{2}}$ is the same as the square root of $x$ .

For example, taking the square root of 4 will determine:

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$\mathrm{Factor\:the\:number:\:}\:4=2^2$

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$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0$

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so the expression becomes

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so, 1/2 rational exponent represents a square root.

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3 years ago

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PLS ANSWER ASAPP!!! Order the numbers in the image above from least to greatest

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Step-by-step explanation:

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3 years ago

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miss Akunina [59]

Answer:

y ∝ m and 1760 is a constant of proportionality.

Step-by-step explanation:

The relation between a distance in the yards (y) and the same distance in miles (m) is described by the equation y = 1760m.

So, the graph of the above equation passes through the origin(0,0) and it will be a straight line with a constant slope of 1760.

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4 years ago

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