Express 2x 3^2x7

Answer 1

To express the expression 2x * 3^2x * 7 in a simplified form, we can use the exponent rules.

First, let's rewrite the expression using proper parentheses for clarity: 2x * (3^(2x)) * 7.

Using the rule of exponents for multiplication of like bases, we can combine the exponents:
2x * (3^(2x)) * 7 = 2x * (3^2x) * 7 = 2x * (9^x) * 7.

Now, using the rule of exponents for multiplication of powers with the same base, we can combine the exponents again:
2x * (9^x) * 7 = (2 * 7) * (9^x) * x.

Therefore, the simplified expression is 14 * (9^x) * x.