Find the product of  $$(a^2 )×(2a^{22} )×(4a^{23})$$​.

Correct option is B

Given:

Product of  $$(a^2) \times (2a^{22}) \times (4a^{23}).$$​​

Concept Used:
To find the product of terms, multiply the coefficients and add the exponents of like bases.

Solution:

Product of coefficients:

​$$1 \times 2 \times 4 = 8$$​​

Product of  $$a -terms:$$​​

​$$a^2 \times a^{22} \times a^{23}\\\ \\= a^{2 + 22 + 23}\\\ \\= a^{47}$$    

Then the product = 8a$$^{47}$$​​