Question

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

The equivalent expression of (1.4³/1.2⁴)⁻⁶ is gotten as; 1.2²/1.4³

How to use rule of exponents?

We are given the expression as;

(1.4³/1.2⁴)⁻⁶

Now, according to rule of exponents in multiplication, we know that;

x² × x³ = x² ⁺ ³ = x⁵

Thus, applying that rule of exponents above to our given problem and we have;

(1.4³/1.2⁴)⁻⁶ = (1.4³ ⁻ ⁶)/(1.2⁴ ⁻ ⁶)

⇒ 1.4⁻³/1.2⁻²

Also according to rule of exponents we know that;

x⁻¹ = 1/x

x⁻² = 1/x²

Thus;

1.4⁻³/1.2⁻² = (1/1.4³)/(1/1.2²)

⇒ 1.2²/1.4³

Thus, we can conclude about the question that the equivalent expression of (1.4³/1.2⁴)⁻⁶ is gotten as; 1.2²/1.4³

Read more about Rule of Exponents at; brainly.com/question/11761858

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