Question

Owen simplified the expression r-8 s-5

r−8s−5= 1/r8 ⋅ s5 = s5/r8

Describe Owen’s error.

Please help!

Answer 1

Owen misexpress s^-5 as s^5 instead of 1/s^5

Indices are expressed in form of exponents. Some of the laws of indices include:

$a^m*a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n} \\a^{-n}=\frac{1}{a^n}$

Given the expression simplified by Own expressed as:

$r^{-8}*r^{-5}$

Applying the law of indices

$r^{-8}*r^{-5}\\= \frac{1}{r^8} *\frac{1}{r^5} \\=\frac{1}{r^{8+5}}\\=\frac{1}{r^{13}}$

From the calculation, we can see that Owen misexpress s^-5 as s^5 instead of 1/s^5

Learn more here: https://brainly.com/question/24282237

Answer 2

Answer:

Sample Response: Each base must be treated separately. Since each base is raised to a negative exponent, they should both be in the denominator of the fractions. The simplified form of the expression has 1 in the numerator and r to the 8th power times s to the 5th power in the denominator.