Express the following in exponential form:
$(i)$. $6\times6\times6\times6$
$(ii)$. $t\times t$
$(iii)$. $b\times b\times b\times b$
$(iv)$. $5\times5\times7\times7\times7$
$(v)$. $2\times2\times a\times a$
$(vi)$. $a\times a\times a\times c\times c\times c\times c\times d$

Given:

$(i)$. $6\times6\times6\times6$

$(ii)$. $t\times t$

$(iii)$. $b\times b\times b\times b$

$(iv)$. $5\times5\times7\times7\times7$

$(v)$. $2\times2\times a\times a$

$(vi)$. $a\times a\times a\times c\times c\times c\times c\times d$

To do:  To express the given terms in exponential form.

Solution:

$(i)$. $6\times6\times6\times6$

$=6^4$

$(ii)$. $t\times t$

$=t^2$

$(iii)$. $b\times b\times b\times b$

$=b^4$

$(iv)$. $5\times5\times7\times7\times7$

$=5^{2\ }\times7^3$

$(v)$. $2\times2\times a\times a$

$=2^2\times a^2$

$(vi)$. $a\times a\times a\times c\times c\times c\times c\times d$

$=a^3\times c^4\times d$

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Updated on: 10-Oct-2022

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