2 years ago

Tyler simplified the expression x³y9. His procedure is shown below.

Mathematics

1 answer:

V125BC [204]2 years ago

5 0

Answer:

(b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

a^-b = 1/a^b

The correct simplification is ...

$x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}$

Both variables should have positive exponents in the denominator.

You might be interested in

Math please help ( easy ASAP )

antoniya [11.8K]

The answer is C and D there were 6 morc children than adults and more adults chose fruit than the number of children

6 0

3 years ago

Read 2 more answers

In need of help with functions in Algebra 2! Thank you!

Damm [24]

Answer: The answer should be B

6 0

3 years ago

If 1/3 of an office staff is on vacation and 1/4 of those not on vacation are out sick, what fraction of the staff is in the off

diamong [38]

Let x be the total number of staff in the office.

Thus,

The number of staff on vacation = $\frac{1}{3} x$

Since, it says that staff out sick are among those not on vacation, we have to subtract the number of staff on vacation from the total number of staff.

The number of staff out sick = $\frac{1}{4} (x - \frac{1}{3}x)$

Hence,

The number of staff in the office = $x - \frac{1}{3} x - \frac{1}{4} (x- \frac{1}{3} x) = (x - \frac{1}{3} x)(1 - \frac{1}{4} ) 
= x(1- \frac{1}{3})(1- \frac{1}{4}) = x( \frac{2}{3})( \frac{3}{4})$ $= \frac{1}{4} x$