Exponents

Question 1

X^0 = ?

Answer 1

1 or (1 / 1)

Question 2

X^1 = ?

Answer 2

X or (X / 1)

Question 3

X^3 = ?

Answer 3

XXX

Question 4

(X^A)^(B) = ?

Answer 4

X^AB

Question 4

X^(-3) = ?

Answer 4

1/X^3 or (1 / (X * X * X) )

Question 5

(X^A) ^(-B) = ?

Answer 5

X^(-AB)

Question 6

(X^A) / (X^B) = ?

Answer 6

X^(A - B)

Question 7

X^A * X^B = ?

Answer 7

X^(A + B)

Question 8

(XY) ^A = ?

Answer 8

X^(A) * Y^(A)

Question 9

X^(1 / 2) = ?

Answer 9

sqrt (X) ^1

Question 10

X^(N / M) = ?

Answer 10

(M)rt (X) ^N

Question 11

(3)rt(64^2) = ?

Answer 11

= 64^ (( 1 / 3 )*(2)) = (3)rt(64)^2 = 4^(2) = 16

Question 12

25^( - 3 / 2) = ?

Answer 12

= 1 / 25^( 3 / 2 ) = 1 / [25^( 1 / 2 )] ^3 = 1 / sqrt(25) ^3 = 1 / (5^3) = 1 / 125

Question 13

(3)rt(X ^4) * (4)rt(X ^5) = ?

Answer 13

= X ^(4 / 3) * X ^(5 / 4) = X ^[(4 / 3) + (5 / 4)] = X ^[(16 / 12) + (15 / 12) = X ^(31 / 12) = (12)rt(X ^31) = X ^(2) * (12)rt( X ^7)

Question 14

[ (5)rt( X ^3) ] / [ (4)rt( X ^7) ] = ?

Answer 14

= [X^ (3 / 5)] / [x^ (7/4)] = x^ [(3 / 5) - (7 / 4)] = x^ [(12 / 20) - (35 / 20)] = 1 / {X ^[( - 23) / 20]} = 1 / {(20)rt[1 /( X ^23)]} = 1/ {X * (20)rt(X^3)}