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




Word Problems with Fractions.

Jayden bought 1 whole tin of cookie dough but only made 1/8 of it, then she shared it with her friend Joel evenly. How much cookie dough did they each get?

First you have to find:

1/1 x 1/8 =

(1×1=2) 2/ (1×8=8) 2/8,

then you must find how much the two of them got evenly, (2 people / by 2):

2/8 / 1/2 =

2/8 x 2/1=

(2×2=4) 4/ (8×1=8) 4/8= 1/2

Therefore Joel and Jayden both got one half of what was baked.