Question

Find the value of (-3)⁴ and (3)–⁴

Answer 1

Step 1:-

$(-3)^{4}$  

↓↓↓↓↓↓↓↓        -  A negative base raised to an even power equals a positive

$3^{4}$

Step 2:-

$3^{4}$  ⇒ 3 × 3 × 3 × 3  - Write the exponent as a multiplication

Step 3:-

3 × 3 × 3 × 3 ⇒ 81 - Multiply the numbers

Answer: 81

*********************************

Step 1 :-

$3^{-4}$ ⇒ $\frac{1}{3^{4}}$

- Express with a positive exponent using:-

$a^{-n} = \frac{1}{a^{n}}$

Step 2 :-

$\frac{1}{ 3^{4} }$ ⇒ $\frac{1}{81}$

- Evaluate the power

↓↓↓

$3^{4}$ ⇒ 3 × 3 × 3 × 3

- Write a exponentiation as a multiplication and multiple the number.

Answer:- $\frac{1}{81}$

Alternative Form:-

0.0123456789...

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Answer 2

Answer:

6561

Step-by-step explanation:

(-3) ⁴(3) ⁴

(-3*3) ⁴

(-9) ⁴

6561 Answer