Question

Simplify using laws of exponents: [(-3)^2 x ( -3 )^ -4] ÷ ( -3)^ -2
plz tell ans​

Answer 1

Answer:

1

Step-by-step explanation:

[(-3)²×(-3)-⁴]÷(-3)-²

=(-3)²-⁴-(-²)

=(-3)²-⁴+²

=(-3)⁰

=1

Answer 2

Given:

The expression -

• [(- 3)² × (- 3)⁻ ⁴] ÷ (- 3)⁻²

What To Find:

We have to -

• Simplify the expression by using the law of exponents.

How To Find:

To find we have to -

• We have to simplify the base and powers.
• Observe the expression.
• Use the laws of exponents wherever possible.
• Solve the expression.

Solution:

[(- 3)² × (- 3)⁻ ⁴] ÷ (- 3)⁻²

Solve the brackets, by using the law:

⇒ aᵐ × aⁿ = aᵐ ⁺ ⁿ

Where -

• a = - 3
• m = 2
• n = - 4

Substitute,

⇒ - 3² ⁺ ⁽⁻ ⁴⁾ ÷ (- 3)⁻²

Solve the exponents,

⇒ - 3⁻² ÷ - 3⁻²

Use the law:

⇒ aᵐ ÷ aⁿ = aᵐ ⁻ ⁿ

Where -

• a = - 3
• m = - 2
• n = - 2

Substitute

⇒ - 3⁻² ⁻ ⁽⁻²⁾

Solve the exponents,

⇒ - 3⁰

Use the law:

⇒ a⁰ = 1

Where -

• a = - 3

Solve,

⇒ 1

Final Answer:

∴ Thus, the answer is 1 after simplifying the expression.