By algebraic procedure, the simplified form of the composite expression 4³ · [(4⁴ · 4⁰ · x⁴) / (3² · x² · y²)] in exponential form is equal to 4⁷ · 3⁻² · x² · y⁻².
What is the single exponential form of a composite expression?
Herein we have a composite both formed by rational and power expressions, which has to be simplified into a form with only power expressions by means of algebraic operations. Now we proceed to show the procedure in detail:
4³ · [(4⁴ · 4⁰ · x⁴) / (3² · x² · y²)]
4³ · [(4⁴ · 4⁰ · x⁴) · (3² · x² · y²)⁻¹]
4³ · [(4⁴ · 4⁰ · x⁴) · (3⁻² · x⁻² · y⁻²)]
(4³ · 4⁴ · 4⁰) · 3⁻² · (x⁴ · x⁻²) · y⁻²
(4³ ⁺ ⁴ ⁺ ⁰) · 3⁻² · (x⁴ ⁻ ²) · y⁻²
4⁷ · 3⁻² · x² · y⁻²
By algebraic procedure, the simplified form of the composite expression 4³ · [(4⁴ · 4⁰ · x⁴) / (3² · x² · y²)] in exponential form is equal to 4⁷ · 3⁻² · x² · y⁻².
To learn more on exponential forms: https://brainly.com/question/16695368
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