Using the Product Rule of Exponents, what is an equivalent form of 8 to the power 2 times 8 to the power of 6?
The Product Rule of Exponents states that when multiplying two powers with the same base, you add their exponents.
In this case, 8 to the power of 2 times 8 to the power of 6 can be written as 8^(2+6).
Simplifying the exponents, we have 8^8 as the equivalent form.
what about 2 to the power od 6 times 2 to the power of 3
Using the Product Rule of Exponents, we add the exponents when multiplying two powers with the same base.
In this case, 2 to the power of 6 times 2 to the power of 3 can be written as 2^(6+3).
Simplifying the exponents, we have 2^9 as the equivalent form.
The Product Rule of Exponents states that when multiplying two powers with the same base, you add their exponents.
To find an equivalent form for 8 to the power of 2 times 8 to the power of 6, we can use the Product Rule of Exponents.
The base is the same, which is 8, so we can add the exponents: 2 + 6 = 8.
Therefore, an equivalent form of 8 to the power of 2 times 8 to the power of 6 is 8 to the power of 8.
To find an equivalent form of 8 raised to the power of 2 multiplied by 8 raised to the power of 6 using the Product Rule of Exponents, we add the exponents when the bases are the same.
The Product Rule of Exponents states that for any real number a and positive integers m and n,
a^m * a^n = a^(m+n).
In this case, we have:
8^2 * 8^6
Adding the exponents, we get:
8^(2 + 6)
Simplifying the exponent, we have:
8^8
Therefore, an equivalent form of 8 raised to the power of 2 multiplied by 8 raised to the power of 6 is 8 raised to the power of 8 (8^8).