Divide. (25 xz^(0)+20x^(6)z^(0))÷(-4x^(3)z^(5)) Simplify your answer as much as possible.

Question

Divide.  (25 xz^(0)+20x^(6)z^(0))÷(-4x^(3)z^(5)) Simplify your answer as much as possible.

Bytelearn · Accepted Answer

Simplify terms with exponents: First, simplify the terms with exponents raised to the power of 0, since anything raised to the power of 0 is 1. So, xz^(0) becomes x*1 = x and x^(6)z^(0) becomes x^(6)*1 = x^(6).Rewrite expression: Now, rewrite the expression with the simplified terms: (25x + 20x^(6)) ÷ (-4x^(3)z^(5)).Split into fractions: Next, split the division into two separate fractions: (25x ÷ -4x^(3)z^(5)) + (20x^(6) ÷ -4x^(3)z^(5)).Simplify each fraction: Simplify each fraction by dividing the coefficients and subtracting the exponents of like bases: (25 ÷ -4) * (x ÷ x^(3)) * (1 ÷ z^(5)) + (20 ÷ -4) * (x^(6) ÷ x^(3)) * (1 ÷ z^(5)).Perform division and subtraction: Perform the division and subtraction of exponents: (-25/4) * (x^(1-3)) * (z^(0-5)) + (-20/4) * (x^(6-3)) * (z^(0-5)).Simplify exponents and coefficients: Simplify the exponents and coefficients: (-25/4) * (x^(-2)) * (z^(-5)) + (-5) * (x^(3)) * (z^(-5)).Rewrite with negative exponents: Since x^(-2) means 1/x^(2) and z^(-5) means 1/z^(5), rewrite the expression: (-25/4x^(2)z^(5)) + (-5x^(3)/z^(5)).Combine terms over common denominator: Combine the terms over a common denominator, which is 4x^(2)z^(5): (-25 - 20x^(3) * 4) / (4x^(2)z^(5)).

Divide. $\newline$ $(25 xz^{0}+20x^{6}z^{0})\div(-4x^{3}z^{5})$ $\newline$ Simplify your answer as much as possible.

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Divide.\newline(25xz0+20x6z0)÷(−4x3z5)(25 xz^{0}+20x^{6}z^{0})\div(-4x^{3}z^{5})(25xz0+20x6z0)÷(−4x3z5)\newlineSimplify your answer as much as possible.

Divide. $\newline$ $(25 xz^{0}+20x^{6}z^{0})\div(-4x^{3}z^{5})$ $\newline$ Simplify your answer as much as possible.