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Express 2x 3^2x7
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Answered by
GPT 3.5
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.
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.
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