Simplify to a single power of 4: 4^6/4^2
To simplify this expression, you can use the property of exponents that states:
a^m/a^n = a^(m-n)
Applying this property to the expression 4^6/4^2, we can subtract the exponents:
4^6/4^2 = 4^(6-2) = 4^4
Therefore, the simplified expression is 4^4.
Which expression is equivalent to 5^-6 x 5^-5?
1. 5^30
2. 5
3. 5^11
4. 1/5^11
To simplify this expression, we can use the rule that states when you multiply two exponents with the same base, you add the exponents together:
a^m * a^n = a^(m + n)
Applying this rule to the expression 5^-6 x 5^-5, we can add the exponents:
5^-6 x 5^-5 = 5^(-6 + -5) = 5^-11
Therefore, the expression 5^-6 x 5^-5 is equivalent to option 4, 1/5^11.