Power Play
(2x3 )(9x4 )
18x7
t0
1
x2*x3=x6
Power of a product rule: add the exponents (do not multiply)
Is the cube root of 27 rational?
Yes, it is a perfect cube
[[(x2)3]4]5
x120
t0 + (44/44) + C1
2C
x3/x=x4
Quotient Rule: Subtract top to bottom
Is the square root of 729 rational?
Yes, it is a perfect square.
(7x3z)4
2401x12z4
Rewrite using positive exponents: c-7t-4
1/(c7t4)
(7x2t)3 = 7x6t3
Power of a Power Rule: The three also applies to the 7. (7x3)
Which two perfect squares does 62 fall between?
49 and 64
(x2)3 * (4x)5
1024x11
Rewrite using negative exponents: 20/(z4x7)
20z-4x-7
x3/x3 = x1
Quotient Rule: Subtract top to bottom. (x0 = 1)
Which two whole numbers will the square root of 102 fall between?
10 and 11
(x2z) * (3xm3)7
2187x9m21z
Simplify: x20/x-4
x24
(4m2)2 = 8m4
Power of a Power Rule: The 4 should be to the power of 2, not multiplied by 2. (16m4)
Which two perfect cubes does 98 fall between?
64 and 125