B. Simplify each of the following.
1.
[tex]( {x}^{5})( {x}^{2} ) = [/tex]
2.
[tex]2x2x2x2x = [/tex]
3.
[tex]( {3}^{2}){2} = [/tex]
4.
[tex] \frac{ {5}^{5} }{ {5}^{5} } = [/tex]
5.
[tex] {100}^{0 = } [/tex]



Sagot :

Answer:

1. x⁵ • x² = x⁷

Explaination : Add the exponent of a variable when multiply. Subtract the exponent when dividing variables.

Ex.: 2x • x² = 2x³

4x³ ÷ 2x = 2x²

2.2x • 2x • 2x • 2x • 2x or (2x)⁵ = 32x⁵

Explaination : ✓ 2•2•2•2•2 = 32

✓ x•x•x•x•x = x⁵

3. (3)² • 2 = 18

Explaination: ✓ (3)² = 9

✓ 9 • 2 = 18

4. 5⁵/5⁵ = 1

Simplification:

✓ 5•5•5•5•5/5•5•5•5•5

✓3,125/3,125 = 1

Explaination: Dividing a number itself, the answer is always 1.

Ex.: 102 ÷ 102 = 1

5. 100⁰ = 1

Explaination : Any number that raise to the power of 0 or have an exponent of 0, is equal to 1.

Ex.: 146290⁰ = 1

822⁰ = 1

I hope this would help.:)