The simplification of the given expression using laws of exponents is; (3⁴)⁻¹/3³ = 3⁻⁷
How to use Laws of Exponents?
We want to simplify the indices expression which is;
(3⁴)⁻¹/3³
Now, according to Laws of Exponents, we know that;
- When multiplying like bases, keep the base the same and add the exponents.
- When raising a base with a power to another power, keep the base the same and multiply the exponents.
- When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.
Applying the above Laws of Exponents, we can solve our expression;
(3⁴)⁻¹/3³ = (3⁴*⁻¹)/3³
⇒ 3⁻⁴/3³
Lastly;
3⁻⁴/3³ = 3⁽⁻⁴ ⁻ ³⁾
⇒ 3⁻⁷
Read more about Laws of Exponents at; https://brainly.com/question/11761858
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