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AysviL [449]
3 years ago
14

What is the simplified form of 3a^4b^-2c^3?

Mathematics
2 answers:
hram777 [196]3 years ago
6 0

Answer:

1. The correct option is d.

2. The correct option is c.

3. The correct option is a.

Step-by-step explanation:

1.

The given expression is

3a^4b^{-2}c^3

Using property of exponent the given expression can be written as

\frac{3a^4c^3}{b^{2}}               [\because a^{-n}=\frac{1}{a^n}]

Therefore, the correct option is d.

2.

The given expression is

-a^{-2}

Using property of exponent the given expression can be written as

-\frac{1}{a^{2}}               [\because a^{-n}=\frac{1}{a^n}]

Put a=-5

-\frac{1}{(-5)^{2}}

-\frac{1}{25}

Therefore option c is correct.

3.

The given expression is

(-m)^{-3}n

Using property of exponent the given expression can be written as

\frac{n}{(-m)^3}

Put m=2 and n=-24.

\frac{-24}{(-2)^3}

\frac{-24}{-8}

\frac{24}{8}=3

Therefore option a is correct.

dybincka [34]3 years ago
4 0
1. Simplified form of:   3 a^4 * 4 b^(-2) * c^3 =
= ( 3 a^4 * 4 c^3 ) / ( b^2 )
Answer: d.
2.  If a = - 5,
- a^(-2) = - ( - 5 )^(-2) = - ( 1/ 5^2 ) = - 1/25
Answer: c.
3. If m = 2 and n = - 24:
( - 2 )^(-3) * ( - 24 ) = 1 / (- 2 )^3  * ( - 24 ) = - 1 / 8 * ( - 24 ) = 24 / 8 = 3
Answer: a. 3
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