Laws of Exponents: Simplifying Expressions - Multiplication and Addition

Simplify each expression.

General Questions

5x⁵ – 7x⁵

1.

– 2
– 2x⁰
– 2x⁵
– 2x¹⁰

(5x⁵)(7x⁵) + (2x⁶)(9x⁴)

2.

23x¹⁰
53x¹⁰
35x²⁵ + 18x²⁴
53x⁴⁹

(3a⁵)(–6a⁴) + (–5a⁶)(2a³)

3.

– 28a³⁸
– 8a⁹
– 18a²⁰ + (– 10a¹⁸)
– 28a⁹

(5a)(2a⁴) – (a³)(7a²)

4.

0
3a⁵
– a¹⁰
10a⁴ – 7a⁵

(8n⁴)(3n⁵) – (5n^A)(Bn) = 4n⁹

5.

A = 8, B = 2
A = 8, B = 4
A = 9, B = 2
A = 11, B = 4

(An⁷)(– 4n^B) + (6n^C)(Dn⁴) = –20n¹²

6.

A = – 6, B = 0, C = 1, D = 4
A = 2, B = 1, C = 0, D = – 2
A = 2, B = 5, C = 8, D = – 2
A = 8, B = 5, C = 8, D = – 22

c^x ● c^2x

7.

2c^2x
2c^3x
c^2x
c^3x

c² ● c^{x – 2}

8.

c^x
c^{2x – 4}
2c^x
2c^{2x – 4}

(3y^t)(–2y^2t)(5y^{t + 3})

9.

6y^7t
6y^{3t + 3}
– 30y^7t
– 30y^{4t + 3}

(–y^{t – 4})(–y^{4 – t})(–y^4t)

10.

– y^14t
– y^4t
– 3y^{8 – 6t}
– 3y^6t

C Adams