Question

help @Nnesha

Answer 1

What is the simplified form of 15 times x to the sixth power over 20 times y to the fifth power times the fraction 6 times y-squared over 5 times x to the fourth power ?

9 x-squared over 10 y-cubed
9 x cubed over 10 y-squared
10 x cubed over 9 y-squared
10 x squared over 9 y-cubed

Answer 2

so the question is

\[\frac{15x^6}{20y^5} \times \frac{6y^2}{5x^4}\]

so if you simplify it you get

\[\frac{90x^6y^2}{100x^4y^5}\]

start by simplfying 90/100 =

then with the powers, use the index law for division, subtract the powers for the same base

\[\frac{x^a}{x^b} = x^{a - b}\]



if you get a negative power it just indicates a fraction

\[x^{-a} = \frac{1}{x^a}\]

hope it helps

Answer 3

@Nnesha can you help i dont get ot

Answer 4

everything is there! :-)
reread that

Answer 5

i dont understand it

Answer 6

tell me what part u don't get 4rm that ?
i have nothing to add :-)

Answer 7

divide 90/100= ?? keep it in fraction form
reduce the fraction

Answer 8

if there are same bases at the denominator and numerator you have to use exponent rule \[\huge\rm \frac{ x^a }{ x^b } = x^{a-b}\]

Answer 9

for example \[\rm \frac{ 3^3 }{ 3^2 } = 3^{3-2}\]

Answer 10

okay so i got 9x^3/10y^3

Answer 11

like when i used a calculator idk this one is confusing

Answer 12

in other words
x^6 can be written as \[\huge\rm \frac{ x \times x \times x \times x \times x \times x }{ x \times x \times x \times x }\]
now cancel x's

Answer 13

when you multiply same bases u should their exponent so that's how we can factor x^6

Answer 14

like this so \[\huge\rm \frac{ x^6 }{ x^4 } = ?\]