Question

URGENT 25 POINTS!

Create an equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven.

Group of answer choices

1.2 to the twenty-first power over 1.3 to the twenty-eighth power

1.3 to the twenty-eighth power over 1.2 to the twenty-first power

1.2 raised to the fourth power over 1.3 cubed

1.3 cubed over 1.2 raised to the fourth power

Answer 1

1.3 to the twenty-eighth power over 1.2 to the twenty-first power

Explanation:

Answer 2

The equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is 1.3 cubed over 1.2 raised to the fourth power.

To find the equivalent expression, we need to use the rule that x^a / x^b = x^(a-b) for any value of x except 0.

In this case, we have 1.2^3 / 1.3^4 raised to the power of -7. Applying the rule, we get:

(1.2^3 / 1.3^4)^-7 = (1.2^(-4) / 1.3^3)^7

Since the exponent of a number raised to a power is the same as the power, we can rewrite the expression as:

1.2^(-47) / 1.3^(37)

Simplifying, we get:

1.2^(-28) / 1.3^(21)

Which is the same as:

1.3^(21) / 1.2^(28)

This is the same as the expression 1.3 cubed over 1.2 raised to the fourth power. Therefore, the equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is 1.3 cubed over 1.2 raised to the fourth power.