Question

Create an equivalent expression for 1.3 cubed over 1.2 raised to the fourth power all raised to the power of negative six. 1.2 raised to the twenty-fourth power over 1.3 to the eighteenth power 1.2 squared over 1.3 cubed 1.3 to the eighteenth power over 1.2 to the twenty-fourth power 1.3 cubed over 1.2 squared

Answer 1

Based on the given parameters, the equivalent expression of [(1.3^3)/(1.2^4)]^-6 is (1.2^[24])/(1.3^[18])

How to determine the equivalent expression?

The expression is given as:

[(1.3^3)/(1.2^4)]^-6

Apply the power law of indices to the above expression

[(1.2^4)/(1.3^3)]^6

Next, we expand the exponents using the power law of indices

(1.2^[4 * 6])/(1.3^[3 * 6])

Evaluate the products

(1.2^[24])/(1.3^[18])

Hence, the equivalent expression of [(1.3^3)/(1.2^4)]^-6 is (1.2^[24])/(1.3^[18]) based on the given parameters

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Complete question

Create an equivalent expression for [(1.3^3)/(1.2^4)]^-6