To solve the expression \( 8b \times (2b)^3 \), we will first simplify \( (2b)^3 \).
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Calculate \( (2b)^3 \): \[ (2b)^3 = 2^3 \times b^3 = 8b^3 \]
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Now, substitute back into the expression: \[ 8b \times 8b^3 \]
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Multiply the terms: \[ 8 \times 8 \times b \times b^3 = 64b^{1+3} = 64b^4 \]
Now, we compare \( 64b^4 \) with the given options: \( 10b^6, 10b^5, \) and \( 16b^6 \).
None of the provided options match \( 64b^4 \).
If you made a mistake in writing the options or if there are other options, please let me know, and I can help with that. Otherwise, the answer to the expression is \( 64b^4 \).
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