To simplify 5^10 * 5^5, you can add the exponents since the bases are the same:
5^(10+5) = 5^15
Therefore, 5^10 * 5^5 simplifies to 5^15.
Simplify 5^10 . 5^5
5 answers
What is a numerical equivalent to 9^9 . 9^-6
To simplify 9^9 * 9^(-6), you can subtract the exponents since the bases are the same:
9^(9-6) = 9^3
Therefore, 9^9 * 9^(-6) simplifies to 9^3.
9^(9-6) = 9^3
Therefore, 9^9 * 9^(-6) simplifies to 9^3.
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−2/7^0) .(2 points)
The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. Therefore, applying the Zero Power Rule, the expression (-33)^0 simplifies to 1.
Using this rule, we can rewrite the expression 9⋅(−33)^0+3/2(8−2/7^0) as:
9 * 1 + 3/2(8 - 1)
Simplifying further:
9 + 3/2(7)
Now, simplifying the expression inside the parenthesis:
9 + 21/2
To add the fractions, we need to find a common denominator:
9 + (21 * 2)/(2 * 2)
= 9 + 42/4
The constant 9 can be written as a fraction: 9/1
Adding the fractions:
(9 * 4 + 42)/(4)
= (36 + 42)/4
= 78/4
= 39/2
Therefore, the simplified expression is 39/2.
Using this rule, we can rewrite the expression 9⋅(−33)^0+3/2(8−2/7^0) as:
9 * 1 + 3/2(8 - 1)
Simplifying further:
9 + 3/2(7)
Now, simplifying the expression inside the parenthesis:
9 + 21/2
To add the fractions, we need to find a common denominator:
9 + (21 * 2)/(2 * 2)
= 9 + 42/4
The constant 9 can be written as a fraction: 9/1
Adding the fractions:
(9 * 4 + 42)/(4)
= (36 + 42)/4
= 78/4
= 39/2
Therefore, the simplified expression is 39/2.