Express the product of 2x², 7x, 10, and x⁵ in standard form

To express the product of the terms 2x², 7x, 10, and x⁵ in standard form, we start by multiplying all the coefficients and combining the powers of x.

First, multiply the coefficients:

  • Coefficients: 2, 7, and 10

The product of the coefficients is:

  • 2 * 7 * 10 = 140

Next, we combine the exponents of x. Remember that when multiplying terms with the same base, we add the exponents:

  • x² (from 2x²) + x (from 7x) + x⁵ = x^(2 + 1 + 5) = x⁸

Putting it all together, the product of the terms is:

  • 140x⁸

Thus, the expression in standard form is:

140x⁸

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