Multiplication
8^2 * 8^3
8^5
6^6 / 6^2
6^4
h^3 * h3
h^9
f^5 / f^2
f^3
2^6 * 7^2
3136
a^4 * a^6
a^10
x^8 / x^6
x^2
6^2 * 6^5
6^7
d^7 / d^ 5
d^2
What "x" makes this true?
(v^2)^x = v^8
4
(6^3)^4 = 6^?
6^12
g^0 / g^6
1/g^6
Simplify 6^4 * 4^7
21233664
Evaluate a^5 * b^5 = (ab)^5
a and b must be the same base
5^2 / 4^0
5^2
7^3 * 3^2
3087
20^0 / 3^7
1/3^7
Write an equivalent expression for:
a^3 * b^3 * c^3
abc^3
Write an equivalent expression for:
5^2 / 2^2
2 * 5
0^0
Yes, it would be 1
Are these equivalent? Explain
2(5n^0)^2 and 2(5n^2)^0
NO
2(5n^0)^2 becomes 2(5 * 1)^2 which is 50
2(5n^2)^0 becomes 2 * 1 which is 0
Simplify
(2b^4 * c^2 * d^0) / 10*b^0 * cd^2
(b^4 * c^2) / 5d^2
What is the product rule?
Same bases, add the exponents and keep the base.
Different bases, same exponent multiply the bases and keep the exponent
What is the quotient rule?
Same bases, subtract the exponents and keep the base.
Different bases, same exponent divide the bases and keep the exponent
Are c^5 * c^0 * c^1 and (c^5 * c^1) / c^0 the same? Explain
Yes, because these are inverse expressions