UNIT TEST EXERCISES

Answer explanation

To simplify the expression, add the exponents: x^(17+12-4). The correct choice is x^25.

Answer explanation

To square a power, multiply the exponents. So, (4x^2y^4z^7)^2 = 4^2x^(2*2)y^(4*2)z^(7*2) = 16x^4y^8z^14.

• 4

• 6

• 8

• 12

• 60

• 90

• 120

• 180

Answer explanation

To simplify the expression, we can first simplify the square roots. The square root of 80 is 4√5 and the square root of 20 is 2√5. So, the expression becomes (4√5 + 5√5) × 2√5. Combining like terms, we get 9√5 × 2√5 = 18 × 5 = 90. Therefore, the correct answer is 90.

Answer explanation

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the length is 2√6 cm and the width is 2√24 cm. The correct choice, 12√6, is obtained by adding the lengths of all sides: 2(2√6) + 2(2√24) = 12√6.

Answer explanation

Answer explanation

Answer explanation