Warm Up Solutions

Rewrite the expression with fractional exponents and prime factors. Do not simplify.

Note

Problems 1–2

Remember to write the numerical coefficients as a product of their factors.

$2^{\frac{1}{5}} 3^{\frac{1}{5}} x^{\frac{4}{5}} y^{\frac{8}{5}}$

$3^{\frac{3}{3}} x^{\frac{4}{3}} y^{\frac{2}{3}}$

Rewrite the equation in logarithmic form.

Note

Problems 3-4

Q: Between which two whole numbers would you expect the value of x to be? Explain.

A: The value of x would be between 1 and 2 because $5^{1} = 5$ and $5^{2} = 25$ .

$\log_{81} 27 = \frac{3}{4}$

$\log_{5} 21 = x$