Answer =
[tex] = \frac{1}{y {}^{5} x {}^{2} } [/tex]
Step-by-step explanation:
Greetings !
simplify for variable y first
apply exponent rule
[tex]a {}^{b} .a {}^{c} = a {}^{b +c \\ } \\ y {}^{ - 8}y {}^{5} = y {}^{ - 8 + 3} [/tex]
Add/subtract the numbers -8+3=5
[tex] = y {}^{5} [/tex]
Apply exponent rule
[tex]a {}^{ - b} = \frac{1}{a {}^{b} } [/tex]
Thus,
[tex]y {}^{ - 5} = \frac{1}{y {}^{5} } [/tex]
secondly, simplify for the variable x
Apply exponent rule as we made on y
[tex]x {}^{ - 2} [/tex]
[tex]x {}^{ - 2} = \frac{1}{x {}^{2} } [/tex]
multiply bot the values we get
Hope it helps!
