write the following where possible as a single number in index form: 2^3x2^4
What following? Repost with the alternatives typed in.
Answer = 2^7 because
2^3 x 2^4 = 128
2^7 = 128
To write the expression 2^3 * 2^4 as a single number in index form, we can simplify it using the properties of exponents.
First, let's recall the property that when multiplying two numbers with the same base, you can add their exponents. In this case, we have the same base of 2.
2^3 * 2^4 = 2^(3+4)
Now, we can simplify the exponent:
2^(3+4) = 2^7
Therefore, the expression 2^3 * 2^4 can be written as a single number in index form as 2^7.