Question

Simplify the following expressions using the exponent laws. Give your answers in terms of positive exponents. A3x a17 xa2=

Answer 1

To simplify the expression A^3x * a^17 * x * a^2, we can apply the exponent laws. When multiplying terms with the same base, we add their exponents. Let's simplify step-by-step:

1. Combine the exponents of 'a':
A^3x * a^17 * x * a^2 = A^3x * a^(17+2) * x

2. Simplify the exponent of 'a':
A^3x * a^(17+2) * x = A^3x * a^19 * x

3. Combine the exponents of 'x':
A^3x * a^19 * x = A^(3+1) * x^(1+1) * a^19

4. Simplify the remaining exponents:
A^(3+1) * x^(1+1) * a^19 = A^4 * x^2 * a^19

So, the simplified expression in terms of positive exponents is A^4 * x^2 * a^19.