Laws of Indices Flashcards

1
Q

Simplify w3 x w11

A

w14(add the powers in a multiplication if the base letter is the same)

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2
Q

Simplify (y2)5

A

y10(multiply the powers)

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3
Q

Simplify (5d3)2

A

25d6(multiply the powers; 25 is 52)

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4
Q

Simplify p4 x p

A

p5(add the powers in a multiplication if the base letter is the same; p is p1)

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5
Q

Simplify (2a4)3

A

8a12(multiply the powers; 8 is 23)

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6
Q

Simplify t2 x t5

A

t7(add the powers in a multiplication if the base letter is the same)

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7
Q

Simplify 3k5 x 4k2

A

12k7(add the POWERS in a multiplication if the base letter is the same, but times 3 by 4)

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8
Q

Simplify 5w2 x 2w6

A

10w8(add the POWERS in a multiplication if the base letter is the same, but times 5 by 2)

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9
Q

Simplify t7 ÷ t3

A

t4(subtract the powers in a division if the base letter is the same)

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10
Q

Simplify (x7)2

A

x14(multiply the powers)

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11
Q

Simplify 12t6 ÷ 6t

A

2t5(subtract the POWERS in a division if the base letter is the same, but divide 12 by 6; t is t1)

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12
Q

Simplify (d3)4

A

d12(multiply the powers)

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13
Q

Simplify w8 ÷ w2

A

w6(subtract the powers in a division if the base letter is the same)

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14
Q

Simplify p5 ÷ p

A

p4(subtract the powers in a division if the base letter is the same; p is p1)

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15
Q

Simplify 10p7 ÷ 2p4

A

5p3(subtract the POWERS in a division if the base letter is the same, but divide 10 by 2)

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