Rules
When you see the product rule, what operation is used?
Add the exponent
Simplify:
53 * 55
58
Use the quotient rule for exponents to divide:
74 / 73
7
Use the power rule to simplify:
(142)3
146
Use the exponent rules to simplify:
(x3)2 * x0
x6
When you see an exponent on the outside of the parentheses, what operation do you do?
Multiply the exponents
Use the product rule for exponents to multiply:
4x3*5x2
20x5
Use the quotient rule for exponents to divide:
(8k3)/( 4k2)
2k
Use the power rule to simplify:
(8v3)4
84v12 or 4096v12
Use the exponent rules to simplify:
(3x2 * 2x2) / (2x2)
3x2
Subtract the exponents
Use the product rule for exponents to multiply:
-12k7 * 4k
-48k8
Use the quotient rule for exponents to divide:
(x2y5)/(xy3)
2y2
Use the power rule to simplify:
(3x3y4)3
33x9y12 or 27x9y12
Use the exponent rules to simplify:
(12xy3 * 3xy)2
Use the exponent rules to simplify:
362x4y8 or 1296x4y8
Explain the meaning of PEMDAS
Parentheses, Exponents, Multiply, Divide, Add, Subtract
Use the product rule for exponents to multiply:
3x4 * 2x3 * 3x2
18x9
Use the quotient rule and the negative exponent rule to simplify:
(2x2y4)/(8xy2)
1xy2/4
Use the power rule to simplify:
(4x2yz3)2
42x4y2z6 or 16x4y2z6
Use the exponent rules to simplify:
(x3y4)3 * (3xy2)2
9x11y16 or 32x11y16
How do you make a negative exponent a positive exponent
Get the reciprocal... or Flip it
Use the product rule for exponents to multiply:
17d2q3r2 * 2d2qr3
34d4q4r5
Use the quotient rule for exponents to divide:
(3x10y9)/(8x4y4 * 2x4y3)
3x2y2/16
Use the power rule to simplify:
(7yx2)4
74y4x8 or 2401y4x8
Use the exponent rules to simplify:
(4b2c3 * 3bc5)3 / (6b3c10)
288b6c14 or 123b6c14/6