# Exponent Laws: Blog Post1

Multiplying powers with the same base you ADD the exponents:

$-2^2\cdot-2^5$ you would then add the exponents as 2+5= 7 the answer is $-2^7$ .

Dividing powers with the same base you SUBTRACT the exponents:

$\frac{5^3}{5^5}$ so, 5-3=2 therefore the answer would be $5^2$

When you have an equation and it has brackets with a base and a exponent but also and exponent outside the brackets you MULTIPLY both of the exponents together, then add the answer you got to the base as the new exponent:

$(5^4)^2$ you multiply 4 by 2 to get 8, therefore  $5^8$ is your final answer.

When you have a multiplication question in brackets with an exponent outside of the braces you can REWRITE the two bases with the exponent:

2×3$^3$ you would give both bases a 3, $3^3$ $2^3$ would equal 27 x 8= 216.

To find the power of a question that is a division question in brackets with an exponent outside you TAKE AWAY the brackets and ADD the exponent to each base:

$\frac{5}{6}^3$ would turn into $\frac{5^3}{6^3}$ because we add the exponent to both bases.

When you have a addition question with exponents you SUBTRACT, however when you subtract the same exponent it becomes ZERO. So, when you have an exponent of zero it will ALWAYS be 1.

$5^4+5^4$ you subtract 4 by 4 to get 0 therefore its $5^0$ .

Jayden Bawden

## One thought on “Exponent Laws: Blog Post1”

1. rpahlevanlu says:

Jayden!
Great use of LaTeX. 🙂
One note.. when you have 5^4 + 5^4, you need to evaluate each separately then add them together. Like this…

5^4 + 5^4 = 625 + 625
= 1250

Make sense?