Mathematics, 03.06.2020 19:00 ecat1214

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Answer from: lolagrace06

$\frac{3375}{512}$ or ≈6.59

Step-by-step explanation:

We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.

Take $25\frac{3}{2}$ for example. The '2' in the fraction means we must take the square of 25. √25 = 5.

The '3' in the fraction means we take the power, which means we must cube '5'.

5³ = 125. Therefore, $25\frac{3}{2}$ = 125. Use this process for the other numbers:

$25^{\frac{3}{2} } = 125\\243^{\frac{3}{5} } = 27\\16^{\frac{5}{4} } = 32\\ 8^{\frac{4}{3} } = 16$

The new fraction would look like:

$\frac{125 * 27}{32 * 16}$

Which simplifies to:

$\frac{3375}{512}$ or ≈6.59

Answer from: 20068088

Step-by-step explanation:

(25) raise to 3/2 = (5^2) raise to 3/2 and 2 gets cancelled when the bracket is opened which leaves 5^3.

(243) raise to 3/5 = (3^5) raise to 3/5 and 5 gets cancelled when the brackets are opened which leaves 3^3.

(16) raise to 5/4 = (2^4) raise to 5/4 and 4 gets cancelled when the bracket is opened which leaves 2^5.

(8) raise to 4/3 = (2^3) raise to 4/3 and 3 gets cancelled when the brackets are opened which leaves 2^4.

5^3 * 3^3 divided by 2^5 * 2^4

= (5 x 3)^ 3 / 2^5+4 [∵a^m x b^m = (ab)^m] & [a^m x a^n = a^m+n]

15^3 / 2^9

This when simplified gives 6.591.

So, 15^3 / 2^9 is approximately equal to 6.59

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Answer from: Quest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c

Answer from: Quest

what is the question? i am guessing you are looking for the area.

to find an area, you have to do length x width.

in this case, it would be 12 ft x 4 ft = 48 sq. ft

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Will mark u brainliest
15 points
Class 9 math
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