Page 173 - ABCTE Study Guide_Neat

Answer

2
The correct answer is C. The a term stays in the denominator because its exponent is positive. The b -
3
4 term must move into the denominator to make its exponent positive. The c term must move into the

denominator to make its exponent positive, which gives you a final answer of .

Here are the more complex rules.

Advanced Rules

Rule Example

For any non-zero
Multiplying Powers with the number aand
Same Base integers m and n, (Add the exponents when
. multiplying numbers with the
same base.)
For any non-zero 5 2 10
number aand (x ) = x
Raising a Power to a Power integers m and n,
(Multiply the exponents when a
m n
mn
(a ) = a . power is raised to a power.)
or any non-zero
numbers aand b, and
integer n,
Raising a Product to a Power (Each part of the product is
separately raised to the power.)

For any non-zero 3 3 3 3
numbers aand b, and (x/5) = x /5 = x /125
Raising a Quotient to a Power integer n,
(Each part of the quotient is
n
n
n
(a/b) = a /b separately raised to the power.)
When simplifying expressions with exponents, numbers raised to a power should be multiplied out.

Question

2 3
4
Simplify the expression (3d) (d )
10
A 3d