Q. Simplify. Express your answer using positive exponents.8v88v
Write Expression: Write down the given expression.The given expression is 8v88v. We need to simplify this expression.
Simplify Coefficients: Simplify the coefficients.Both the numerator and the denominator have the coefficient 8. We can simplify this by dividing 8 by 8, which equals 1.88=1
Simplify Variables: Simplify the variables using the laws of exponents.We have v in the numerator and v8 in the denominator. According to the laws of exponents, when we divide like bases, we subtract the exponents.v8v=v1−8=v−7
Combine Coefficients and Variables: Combine the simplified coefficients and variables.Since the coefficient simplifies to 1, and we are left with v−7, the expression simplifies to:1×v−7=v−7
Convert to Positive Exponents: Express the answer using positive exponents.The question asks for the answer to be expressed using positive exponents. To convert a negative exponent to a positive exponent, we take the reciprocal of the base raised to the positive of the negative exponent.v−7=v71
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