Answer explanation

To simplify the expression, subtract the exponents: x^(7-2) = x^5. Therefore, the correct answer is x^5.

Answer explanation

To simplify the expression, divide the coefficients (12 ÷ 2 = 6) and subtract the exponents (9 - 3 = 6) to get 6y^6 as the final answer.

Answer explanation

To simplify the expression, we multiply the exponents: (2 * 5 = 10), so (x^2)^5 = x^10. Therefore, the correct answer is x^10.

Answer explanation

To simplify the expression, we multiply the exponents: (a^3)^4 = a^(3*4) = a^12. Then, (a^12)^2 = a^(12*2) = a^24. Therefore, the correct answer is a^24.

Answer explanation

To simplify the expression, raise the coefficient and the exponent inside the parentheses to the power outside the parentheses. This gives us 8x^6 as the correct answer.

Answer explanation

To simplify the expression, square the numerator and denominator separately: \(\left(\frac{x^3}{y}\right)^2 = \frac{x^6}{y^2}\). Therefore, the correct answer is \(\frac{x^6}{y^2}\).

Answer explanation

To simplify the expression, add the exponents when multiplying like terms: 5 * 3 = 15 and y^3 * y^8 = y^(3+8) = y^11. Therefore, the answer is 15y^11.

Answer explanation

To simplify the expression, subtract the exponents: x^(7-2) = x^5. Therefore, the correct answer is x^5.

Answer explanation

To simplify the expression, raise each term inside the parentheses to the power of 3. This results in (2^3)(y^9)(z^-6), which simplifies to 8y^9/z^6.

Any BASE with an EXPONENT of ZERO always equals ONE.

• True

• False

Answer explanation

Any base with an exponent of zero always equals one, making the statement true.