# 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 rai

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

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1 week 2023-01-24T15:01:28+00:00 1 Answer 0 views 0

## Answer ( 1 )

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