Using the product rule of exponents, what is an equivalent form of 8 to the power of 2 times 8 to the power of 6
To find an equivalent form for 8 to the power of 2 times 8 to the power of 6, we can apply the product rule of exponents, which states that:
a^m * a^n = a^(m + n)
Applying this rule to the given expression:
8^2 * 8^6 = 8^(2 + 6)
Simplifying further:
8^(2 + 6) = 8^8
Therefore, an equivalent form of 8 to the power of 2 times 8 to the power of 6 is 8^8.
Using the product rule of exponents, what is an equivalent formm of 2 to the power of 6 times 2 to the power of 3?
To find an equivalent form for 2 to the power of 6 times 2 to the power of 3, we can apply the product rule of exponents, which states that:
a^m * a^n = a^(m + n)
Applying this rule to the given expression:
2^6 * 2^3 = 2^(6 + 3)
Simplifying further:
2^(6 + 3) = 2^9
Therefore, an equivalent form of 2 to the power of 6 times 2 to the power of 3 is 2^9.
Apply the product rule of exponents to form an equivalent expression of 1^6 times 1^2 times 1^1
The product rule of exponents states that:
a^m * a^n = a^(m + n)
Applying this rule to the given expression:
1^6 * 1^2 * 1^1
We can simplify the expression by adding the exponents:
1^(6 + 2 + 1)
Therefore, an equivalent expression for 1^6 * 1^2 * 1^1 using the product rule of exponents is 1^9.
Using the product rule of exponents what is an equivalent form of (1/3)^6 times (1/3)^6
To find an equivalent form of (1/3)^6 times (1/3)^6 using the product rule of exponents, we can apply the rule which states:
(a^m) * (a^n) = a^(m + n)
Applying this rule to the given expression:
(1/3)^6 * (1/3)^6 = (1/3)^(6 + 6)
Simplifying further:
(1/3)^(6 + 6) = (1/3)^12
Therefore, an equivalent form of (1/3)^6 times (1/3)^6 using the product rule of exponents is (1/3)^12.
Using the product rule of exponents, what is the exponent of 7^2 times 7^3 in exponential simplest form?
To find the exponent of 7^2 times 7^3 using the product rule of exponents, we can apply the rule which states:
a^m * a^n = a^(m + n)
Applying this rule to the given expression:
7^2 * 7^3 = 7^(2 + 3)
Simplifying further:
7^(2 + 3) = 7^5
Therefore, the exponent of 7^2 times 7^3 in exponential simplest form is 5.