Rewrite the expression in the form y^(n). y^((3)/(4))*y^((1)/(3))=

Use Exponent Property: To simplify the expression y^((3)/(4))*y^((1)/(3)), we need to use the property of exponents that states when multiplying like bases, we add the exponents.Add Exponents: Add the exponents (3/4) and (1/3) together. To add fractions, we need a common denominator. The least common denominator for 4 and 3 is 12.Find Common Denominator: Convert (3/4) to a fraction with a denominator of 12 by multiplying both the numerator and denominator by 3, which gives us (9/12).Convert (3/4) to 12: Convert (1/3) to a fraction with a denominator of 12 by multiplying both the numerator and denominator by 4, which gives us (4/12).Convert (1/3) to 12: Now add the two fractions (9/12) and (4/12) together. (9/12) + (4/12) = (13/12)Add Fractions: The simplified form of the expression is therefore y^(13/12).

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Rewrite the expression in the form
y^(n).

y^((3)/(4))*y^((1)/(3))=

Rewrite the expression in the form $y^{n}$ . $\newline$ $y^{\frac{3}{4}} \cdot y^{\frac{1}{3}}=$

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Math Problems

Algebra 2

Evaluate exponential functions

Full solution

Q. Rewrite the expression in the form

y^{n}

\newline

y^{\frac{3}{4}} \cdot y^{\frac{1}{3}}=

Use Exponent Property: To simplify the expression $y^{(\frac{3}{4})}\cdot y^{(\frac{1}{3})}$ , we need to use the property of exponents that states when multiplying like bases, we add the exponents.
Add Exponents: Add the exponents $(\frac{3}{4})$ and $(\frac{1}{3})$ together. $\newline$ To add fractions, we need a common denominator. The least common denominator for $4$ and $3$ is $12$ .
Find Common Denominator: Convert $(\frac{3}{4})$ to a fraction with a denominator of $12$ by multiplying both the numerator and denominator by $3$ , which gives us $(\frac{9}{12})$ .
Convert $(\frac{3}{4})$ to $12$ : Convert $(\frac{1}{3})$ to a fraction with a denominator of $12$ by multiplying both the numerator and denominator by $4$ , which gives us $(\frac{4}{12})$ .
Convert $(\frac{1}{3})$ to $12$ : Now add the two fractions $(\frac{9}{12})$ and $(\frac{4}{12})$ together. $(\frac{9}{12}) + (\frac{4}{12}) = (\frac{13}{12})$
Add Fractions: The simplified form of the expression is therefore $y^{\frac{13}{12}}$ .