How do you simplify (2^3) * (2^4)?

To simplify \((2^3) * (2^4)\), you add the exponents to get \(2^{3+4} = 2^7\).

When you multiply numbers with the same base, you can simplify the expression by adding their exponents. This is because of the laws of indices (or exponents). In this case, the base is 2. The expression \((2^3) * (2^4)\) means you are multiplying \(2^3\) (which is 2 multiplied by itself 3 times) by \(2^4\) (which is 2 multiplied by itself 4 times).

According to the laws of indices, when you multiply two powers with the same base, you add the exponents. So, you take the exponents 3 and 4 and add them together: \(3 + 4 = 7\). Therefore, \((2^3) * (2^4)\) simplifies to \(2^7\).

To break it down further, \(2^3\) is 2 * 2 * 2, which equals 8. \(2^4\) is 2 * 2 * 2 * 2, which equals 16. When you multiply 8 by 16, you get 128. This is the same as \(2^7\), because \(2^7\) is 2 multiplied by itself 7 times, which also equals 128. So, \((2^3) * (2^4) = 2^7\) simplifies the calculation and gives you the same result.