Question

War your work, please.

1. What is the square root of 497
2. What is the cube root of 8?
3. What is the exact value of (?)? Enter your answer as a fraction
4. 34.32.30 =
5. Write 5-? as a fraction.
6. In APQR, mZP=60º, m ZQ=45°, and mZR=75º. Oscar reflects the triangle across the
x-axis forming AP'Q'R'.
What is the measure of ZQ' in the transformed triangle?

Answer 1

1.) 7. (7 x 7 = 9)

2.) IDK, sorry

3.) 8/27

Apply the product rule to 2/3

2^3/ 3^3

Raise 2 to the power of 3.

8/27

4.) 9

1. Exponentiation: 3 ^ 4 = 81

2. Exponentiation: 3 ^ (-2) = 0.111111111111 = 1/9

3. Multiple: the result of step No. 1 * the result of step No. 3 = 81*1/9 = 81 · 1/1 · 9 = 81/9 = 9 · 9/1 · 9 = 9

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 9) = 9. Cancelling by a common factor of 9 gives 9/1.

In words - eighty-one multiplied by one ninth = nine.

4. Exponentiation: 3 ^ 0 = 1

5.Multiple: the result of step No. 4 * the result of step No. 5 = 9 * 1 = 9

5.) 1/125

5 ^ (-3) = 0.008 = 1/125

6.) IDK, sorry