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3 years ago

15

–(7)-¹

1 answer:

MaRussiya [10]3 years ago

3 0

$(-5)^{-6}(-5)^9$

$= (-5)^{-6+9}$

$= (-5)^{3}$

$(4 \times 10^{10})(9 \times 10^{-6})$

$= 36 \times 10^{10-6}$

$= 36 \times 10^{4}$

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Show that 0.357 is a rational number.

nika2105 [10]

Answer:

$0.357 = (357)/(1000)$ .

Step-by-step explanation:

A number is a rational number if and only if it is equal to the ratio between two integers. In other words, a number $x$ is a rational number if and only if there are integers (whole numbers) $p$ and $q$ ( $q \ne 0$ ) such that $x = p / q$ .

Thus, the $0.357$ in this question would be a rational number as long as there are integers $p$ and $q$ ( $q \ne 0$ ) such that $p / q = 0.357$ . Simply finding the right $p\!$ and $q\1$ would be sufficient for showing that $0.357\!$ is rational.

Since $0.357$ is a terminating decimal, one possible way to find $p\!$ and $q\1$ is to repeatedly multiply $0.357\!$ by $10$ until a whole number is reached:

$10 \times 0.357 = 3.57$ .

$10^{2} \times 0.357 = 35.7$ .

$10^{3} \times 0.357 = 357$ .

Thus, $0.357 = (357) / (10^{3})$ , such that $p = 357$ and $q = 1000$ (both are integers, and $q \ne 0$ ) would ensure that $0.357 = p / q$ .

Therefore, $0.357$ is indeed a rational number.

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2 years ago

I’m giving 20 points and will give brainliest.

aleksley [76]

Answer:

Express 5 72 in simplest radical form:

Factorize the 72 in your expression:

5√72 = 5√(2*2*2*3*3)

take a pair of two's and a pair of three's out of the radical sign:

5√72 = 5*2*3√2 = 30√2

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Step-by-step explanation:

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This is the correct answer

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Step-by-step explanation:

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2 years ago

Which shows the factored form of x2-12x-45

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<span>x^2 - 12x - 45
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3 years ago

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