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3 years ago

Simplify 27^(-2/3) x 25^(1/2) x 5^0 9 5 9/5 5/9

Mathematics

1 answer:

Alja [10]3 years ago

7 0

Answer:

$\frac{5}{9}$

Step-by-step explanation:

Using the rules of exponents/ radicals

$a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$ , $a^{0}$ = 1

$a^{-m}$ = $\frac{1}{a^{m} }$

Given

$27^{-\frac{2}{3} }$ × $25^{\frac{1}{2} }$ × $5^{0}$

= $\frac{1}{27^{\frac{2}{3} } }$ × $\sqrt{25}$ × 1

= $\frac{1}{9}$ × 5 × 1

= $\frac{5}{9}$

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MAXImum [283]

Answer:

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Step-by-step explanation:

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3 years ago

Find the slope of the line that passes through (6,10) and (1,1)

Jet001 [13]

Answer:X2 = 5

Y2 = 4

ΔX = 4

ΔY = 3

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 0.25

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3 years ago

Read 2 more answers

Helpp <br> Ok I don’t know how they got 3y-24

Nesterboy [21]

Answer:

y = -5/3x + 3

Step-by-step explanation:

First lets turn the equation from standard form to slope intercept form.

3x - 5y = 1

~Subtract 3x to both sides

-5y = 1 - 3x

~Divide -5 to everything

y = -1/5 + 3/5x

~Reorder

y = 3/5x - 1/5

Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.

3/5x -> -5/3x

Now that we have the slope, we can use the given point to find the y-intercept.

y = -5/3x + b

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Best of Luck!

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2 years ago

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Sliva [168]

Answer:

Step-by-step explanation:

substitute X=7 in 2x+8, answer 22

substitute X=5, answer 18

option C

substituting X=7 in (X+4)+(X+4) also gives 22

substituting X=5 also gives 18

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2 years ago

Round 479.16 to the nearest tenths

tatyana61 [14]

The tenths place would be the digit right after the decimal point, and we want to round 479.16 to the nearest tenths.

The number in the tenths place is 1. Now we have to decide if we're going to round up or down

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The digit after the tenths place is "6", which is greater than 5. Thus, the "1" is rounded up to a "2"

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Let me know if you need any clarifications, thanks!

~ Padoru

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3 years ago