Evaluate the left hand side to find the value of a in the equation in simplest form. (x^((3)/(2)))/(x^((5)/(6)))=x^(a) Answer:

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Evaluate the left hand side to find the value of  a in the equation in simplest form.  (x^((3)/(2)))/(x^((5)/(6)))=x^(a) Answer:

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Use Exponent Property: To simplify the expression (x^(3/2))/(x^(5/6)), we need to use the property of exponents that states when dividing like bases, we subtract the exponents: a^(m)/a^(n) = a^(m-n). So, we will subtract the exponent (5/6) from (3/2).Find Common Denominator: First, we need to find a common denominator to subtract the fractions (3/2) - (5/6). The common denominator for 2 and 6 is 6. So, we convert (3/2) to (9/6) by multiplying both the numerator and denominator by 3. Now we have (9/6) - (5/6).Subtract Numerators: Subtract the numerators: 9 - 5 = 4. So, (9/6) - (5/6) = (4/6).Simplify Fraction: We can simplify the fraction (4/6) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. (4/6) ÷ (2/2) = (2/3).Final Simplified Form: Now we have the simplified form of the exponent for x, which is (2/3). Therefore, the expression (x^(3/2))/(x^(5/6)) simplifies to x^(2/3). So, the value of a is (2/3).

Evaluate the left hand side to find the value of $a$ in the equation in simplest form. $\newline$ $\frac{x^{\frac{3}{2}}}{x^{\frac{5}{6}}}=x^{a}$ $\newline$ Answer:

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Evaluate the left hand side to find the value of $a$ in the equation in simplest form. $\newline$ $\frac{x^{\frac{3}{2}}}{x^{\frac{5}{6}}}=x^{a}$ $\newline$ Answer: