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Evaluate: $(2.3a^5b^2) \times (1.2a^2b^2)$ when $a = 1, b = 0.5$.
Given:
$(2.3a^5b^2) \times (1.2a^2b^2)$
To do:
We have to evaluate $(2.3a^5b^2) \times (1.2a^2b^2)$ when $a = 1, b = 0.5$.
Solution:
$(2.3 a^{5} b^{2}) \times(1.2 a^{2} b^{2})=2.3 \times 1.2 \times a^{5} \times a^{2} \times b^{2} \times b^{2}$
$=2.76 \times a^{5+2} \times b^{2+2}$
$=2.76 \times a^{7} \times b^{4}$
$=2.76\times(1)^{7} \times(0.5)^{4}$
$=\frac{276}{100} \times 1 \times(\frac{1}{2})^{4}$
$=\frac{276}{100} \times \frac{1}{16}$
$=\frac{69}{400}$
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