Question

Create an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.

1.3 squared over 1.5 cubed
1.3 to the twenty-fourth power over 1.5 to the eighteenth power
1.5 cubed over 1.3 squared
1.5 to the eighteenth power over 1.3 to the twenty-fourth power

Answer 1

To find the equivalent expression for (1.5^3) / (1.3^4) raised to the power of -6, we can simplify the expression step by step by cubing 1.5, raising 1.3 to the power of 4, dividing the results, and raising the final result to the power of -6.

Step-by-step explanation:

To find the equivalent expression for (1.5^3) / (1.3^4) raised to the power of -6, we can simplify the expression step by step.

First, we cube 1.5 and the result is 3.375. Then, we raise 1.3 to the power of 4 and the result is 2.8561.

Next, we divide 3.375 by 2.8561 and the result is approximately 1.18231.

Finally, we raise 1.18231 to the power of -6 and the final equivalent expression is approximately 0.544077.

Answer 2

`\left((1.5^3)/(1.3^4) \right)^(-6)=\left((1.3^4)/(1.5^3) \right)^6=\boxed{(1.3^(24))/(1.5^(18))}`