Question

(Laws of Exponents with Integer Exponents LC)

Create an equivalent expression for 1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six.

1.4 cubed over 1.2 squared

1.2 squared over 1.4 cubed

1.4 to the eighteenth power over 1.2 to the twenty-fourth power

1.2 to the twenty-fourth power over 1.4 to the eighteenth power

Answer 1

1.2 to the twenty-fourth power over 1.4 to the eighteenth power

Explanation:

`((1.4^(3) )/(1.2^(4) )) ^(-6)` to make this positive you flip the fraction

`((1.2^(4) )/(1.4^(3) )) ^(6)` Now multiple the exponent in the numerator and denominator by 6

`(1.2^(24) )/(1.4^(18) )`