Question

Which of these best explains the next step to simplify this expression? 3y−45=35y−4 Question 22 options: Make the –4 exponent in the denominator positive. Add 5 to –4. Keep the exponent in the denominator –4. Multiply 5 by –4.

Answer 1

The value of y from the give expression is 1

Expressions and equations

Give the following expression

$\frac{3y^{-4}}{5} = \frac{3}{5y^{-4}}$

Cross multiply the given expression

$3y^{-4}\times 5y^{-4}= 5 \times 3\\15y^{-8}=15$

Divide both sides by 15

$y^{-8}=1\\\frac{1}{y^8} =1\\y^8=1\\y=1$

Hence the value of y from the given expression is 1

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