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Mathematics

1 answer:

gogolik [260]2 years ago

7 0

Answer:

en español porfa no ablo ingles

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Simplify (4ab^2)^3 Any help is appreciated

Pie

Answer:

$64a^{3} b^{6}$

Step-by-step explanation:

1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:

$(4ab^{2} )^3$

$4^{3}$ · $a^{3}$ · $b^{6}$

2) The variables are fine - you can't simplify them further. All you need to do now is multiply the $4^{3}$ out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"

$4$ · $4$ · $4$ · $a^{3}$ · $b^{6}$

$16$ · $4$ · $a^{3}$ · $b^{6}$

$64a^{3} b^{6}$

Therefore, $64a^{3} b^{6}$ is the answer.

3 0

2 years ago

Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

Flura [38]

1. 12(x − 4)
2. x5
3. The quotient of some number and ten
4. b − 8
5. The quotient of four times some number and six
6. 3x + 7

1. x and -4 are multiplied by 12
2 raided to this 5th power is an exponent
3 quotient means division
4 less than means subtraction
5 division means quotient, list numerator first then the denominator
6 product of is multiplication and more is an addition.

7 0

3 years ago

Read 2 more answers

Making coconut cookies. The recipe calls for 420 g of coconut and 120 g of sugar. Only has 252 g of coconut. How much sugar must

geniusboy [140]

Answer: 72 grams.

Step-by-step explanation:

Let be "s" the amount of sugar in grams that must be used for 252 grams of coconut to keep the same ratio of coconut to sugar.

Knowing that in the recipe for the coconut cookies, should be 420 grams of coconut and 120 grams of sugar, and you only have 252 grams of coconut, you can set up this proportion to find "s":

$\frac{420grams}{120grams}=\frac{252grams}{s}$