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(35x^(12)y^(4)z^(7))/(7x^(6)y^(8)z^(6))

35x12y4z77x6y8z6 \frac{35 x^{12} y^{4} z^{7}}{7 x^{6} y^{8} z^{6}}

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Full solution

Q. 35x12y4z77x6y8z6 \frac{35 x^{12} y^{4} z^{7}}{7 x^{6} y^{8} z^{6}}
  1. Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression.\newlineDivide 3535 by 77 to simplify the coefficient.\newline35÷7=535 \div 7 = 5
  2. Simplify xx Terms: Simplify the xx terms using the laws of exponents for division.\newlineSubtract the exponent of xx in the denominator from the exponent of xx in the numerator.\newlinex(12−5)=x7x^{(12 - 5)} = x^7
  3. Simplify yy Terms: Simplify the yy terms using the laws of exponents for division. Subtract the exponent of yy in the denominator from the exponent of yy in the numerator. y(4−8)=y−4y^{(4 - 8)} = y^{-4}
  4. Simplify zz Terms: Simplify the zz terms using the laws of exponents for division. Subtract the exponent of zz in the denominator from the exponent of zz in the numerator. z(7−6)=z1=zz^{(7 - 6)} = z^1 = z
  5. Combine Simplified Terms: Combine the simplified terms to write the final answer.\newlineThe expression simplifies to 5x7y−4z5x^7y^{-4}z.

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