Question

assessment in General Mathematics
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Answer 1

Given expression is \frac{6^m}{6^{-3}}=6^56−36m=65

Now solving the given expression to get the value of m in the expression.

\frac{6^m}{6^{-3}}=6^56−36m=65

6^m=6^5\times 6^{-3}6m=65×6−3

By using the Exponent property is given by:

a^m.a^n=a^{m+n}am.an=am+n

6^m=6^{5-3}6m=65−3

6^m=6^26m=62

Since the bases are same we can equate the powers we get,

m=2

∴ the value of m in the given expression  \frac{6^m}{6^{-3}}=6^56−36m=65 is 2∴  the value is m=2

Answer 2

Given expression is \frac{6^m}{6^{-3}}=6^56−36m=65

Now solving the given expression to get the value of m in the expression.

\frac{6^m}{6^{-3}}=6^56−36m=65

6^m=6^5\times 6^{-3}6m=65×6−3

By using the Exponent property is given by:

a^m.a^n=a^{m+n}am.an=am+n

6^m=6^{5-3}6m=65−3

6^m=6^26m=62

Since the bases are same we can equate the powers we get,

m=2

∴ the value of m in the given expression  \frac{6^m}{6^{-3}}=6^56−36m=65 is 2∴  the value is m=2

Answer:

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