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3 years ago

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

Mathematics

1 answer:

Nikolay [14]3 years ago

4 0

$\bf \left( \cfrac{4^7}{5^2} \right)^3\impliedby \textit{first, let's distribute the exponent}
\\\\\\
\left( \cfrac{4^{7\cdot 3}}{5^{2\cdot 3}} \right)\implies \cfrac{4^{21}}{5^6}
\implies \cfrac{4398046511104}{15625}$

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The lines shown below are parallel. If the green line has a slope of -27, what is

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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

The correct option is A.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

The slope of the parallel line is always equal. Given the slope of the green line is -3/7, also, it is parallel to the red line. Therefore, the slope of the red line is -3/7.

Hence, the correct option is A.

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kozerog [31]

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$2.52

Step-by-step explanation:

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3 years ago

You cut off half of a strip of paper. then you cut half of the piece was left. then you cut half of the remaining piece.

lianna [129]

Answer:

The fraction of the original strip left is $\frac{1}{8}$ .

Step-by-step explanation:

We have that,

A strip of paper is cut in $\frac{1}{2}$ . So, the strip of paper left is $\frac{1}{2}$ .

Now, again the remaining part is cut in half. The part left will be $\frac{1/2}{2}$ i.e. $\frac{1}{4}$ .

Finally, the remaining part is again cut in half.

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3 years ago

What does X equal?<br><br> 5x+10=11

Liula [17]

Answer:

x=1/5

Step-by-step explanation:

you can also use mathpapa it's a calculator that gives you the answer and solves it for you step by step.

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2 years ago

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Use the grouping method to factor the polynomial below completely.<br> x^3 + 2x^2 + 5x + 10

Neko [114]

Answer:

The factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)

Step-by-step explanation:

x^3+2x^2+5x+10

Group the expression by two:

=(x^3+2x^2)+(5x+10)

Factor out GCF in each group.

=x^2(x+2)+5(x+2)

Note:(The binomials in parentheses should be the same, if not the same... there is an error in the factoring or the expression can not be factored.)

Now factoring out the GCF which basically has you rewrite what is in parentheses and place other terms left together:

=(x^2+5)(x+2)

Thus the factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)....

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3 years ago