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fredd [130]
3 years ago
12

**30 POINTS** PLEASE SOLVE Write 8x³y³ as the power of a product.

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

(2xy)³

Step-by-step explanation:

According to the Power Rule of Exponents:

(ab})^{m}   =  a^{m}b^{m}

We can apply the Power Rule of Exponents to the given exponential expression, 8x³y³, by taking the smallest factor that when cubed (or raised to an exponent of 3), will produce the same results as the original exponential expression.

8 is a perfect cube of 2:  ⇒  2 × 2 × 2 = 2³ = 8

The cube of x is x³:   ⇒  x × x × x = x³

The cube of y is y³  ⇒  y × y × y  = y³

Hence, we can take the least common factors, (2xy) and raise them to the third power:

(2xy)³ = 2³x³y³ =  8x³y³

Therefore, the correct answer is: (2xy)³

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12 + x to the power of 4 - 6 when x = 8
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value of  12+x^4-6 at x=8 is  5002 .

<u>Step-by-step explanation:</u>

here we need to evaluate 12 + x to the power of 4 - 6 when x = 8 or , 12+x^4-6 where x=8 . Let's find out:

⇒ 12+x^4-6

Putting x =8 :

⇒ 12+8^4-6

Splitting 8 to power 4 into 8 to power 2 ( 2 times )

⇒ 12+8^2(8^2)-6

⇒ 12+64(64)-6

⇒ 12+4096-6

⇒ 4096+6

⇒ 5002

Therefore , value of  12+x^4-6 at x=8 is  5002 .

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3 years ago
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3 years ago
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Answer:

$49,126.87

Step-by-step explanation:

Given data

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Answer:

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y = mx + <em>b</em>

m = slope; <em>b</em> = y-intercept

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4 0
4 years ago
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