Use the Product Rule of Exponents to simplify 5^10⋅5^5
Exponent Rules Unit Test
1. 5^15
2.729
3.235
4.12^62
5.17
6.5.9
7.First two boxes 9*1 last two boxes 8-1
8.-17
9.10^18
10.(7*7*7)*(7*7*7)*(7*7*7)*(7*7*7)*(7*7*7)
11.19^36
12.1/343
13.8^14/3^17
14.36/7
15.on your own
Hope this helps because I didn't have the help :)
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To simplify the expression 5^10 ⋅ 5^5 using the Product Rule of Exponents, we add the exponents since the bases are the same.
The Product Rule states that for any number a, and any positive integers m and n, a^m ⋅ a^n = a^(m+n).
Therefore, we have:
5^10 ⋅ 5^5 = 5^(10+5) = 5^15
So, 5^10 ⋅ 5^5 can be simplified to 5^15.
Find the numerical equivalent of 9^9 • 9^-6?
To simplify the expression 5^10⋅5^5 using the Product Rule of Exponents, you need to add the exponents together because you are multiplying two numbers with the same base (which is 5 in this case).
According to the Product Rule of Exponents, a^m⋅a^n = a^(m+n).
Applying this rule to the given expression, we have:
5^10⋅5^5 = 5^(10+5)
Adding the exponents, we get:
5^10⋅5^5 = 5^15
Therefore, the simplified expression is 5^15.