Rewrite using a single exponent.
(7^3)^4
7^(3*4)
To rewrite the expression (7^3)^4 using a single exponent, we need to apply the rule of exponentiation which states that when you raise a power to another power, you multiply the exponents.
Applying this rule to (7^3)^4, we can rewrite it as 7^(3*4).
Simplifying the exponent, 3*4 equals 12, so the final expression is 7^12.
To rewrite the expression (7^3)^4 using a single exponent, we need to apply the property of exponents known as the power of a power rule. According to this rule, when we raise an exponent to another exponent, we need to multiply the exponents.
So, let's simplify the expression:
(7^3)^4
First, we raise 7 to the power of 3:
7^3 = 7 * 7 * 7 = 343
Now, we take the answer, 343, and raise it to the power of 4:
343^4 = 343 * 343 * 343 * 343 = 1331 * 1331 * 1331 = 208,215,776.
Therefore, the expression (7^3)^4 can be rewritten as 208,215,776 when simplified using a single exponent.