Question

1. Find the value of (-3)² + (-6)²
2. Evaluate (1⁰+3⁰+5⁰-7⁰)²
3. Simplify and write as single exponent [(3²)⁴÷(3³)²] × (3²)³
4. it's attached​

Answer 1

Answer:

Namaste here is your answer mate!

1. (-3)² + (-6)²

= 9 + 36

= 45

2. (1⁰+3⁰+5⁰-7⁰)²

= (0+0+0+0)²

= 0

[ Because every number to the power 0 are always equal to 0]

3. [(3²)⁴÷(3³)²] × (3²)³

= [(3)⁸ ÷ (3)⁶] × (3)⁶

= [(3)⁸-⁶] × (3)⁶

= [(3)²] × (3)⁶

= (3)² × (3)⁶

= (3)²+⁶

= (3)⁸

4. As the bases are same,

» 6 × x = 4 [(3²)³ = 3⁶]

» x = 4

6

» x = 1

2

Verify it:

3⁶ × 3⅔

As the bases are same,

= 6×2

3

= 4

Hence the value of x is 2/3.