Question

Simplify each expression using the laws of exponents. No negative exponents should be in your final answer. (On the image attached)

WORK NEEDED!

Answer 1

-3x^-3 y^-7 z^8

Explanation:

Answer 2

Answer is given below with explanations.

Explanation:

`by \: simplifying \: the \: given \: expression \: using \: \\ law \: of \: exponents \: we \: get \\ \frac{15 {x}^(15) {y}^( - 3) {z}^(4) }{18 {x}^(18) { {y}^(4) {z}^( - 4) }^{} } \\ = \frac{5 \: {x}^( - 3) {y}^( - 7) {z}^(8) }{6} \\ we \: may \: also \: write \: as \\ = \frac{5 {z}^(8) }{6 {x}^(3) {y}^(7) }`

`formulae \: used \ \: : \\ \frac{ {x}^(m) }{ { {x}^(n) }^{} } = {x}^(m - n) \: \: \: and \\ {x}^( - m) = \frac{1}{ {x}^(m) }`

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