Use this rule to do these problems-What does 102- 105 mean-

102 times; 105 = 10(2 + 5) xm times; xn = x(m + n) = 107 Thus, 102 times; 105 means 7 powers of 10. ...

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Standard VII

Mathematics

Arithmetic Mean

Use this rule...

Question

Use this rule to do these problems:

What does 10² × 10⁵ mean?

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Solution

10²× 10⁵

= 10^{(2 + 5)} {x^m× xⁿ = x⁽^m⁺ⁿ⁾}

= 10⁷

Thus, 10²× 10⁵ means 7 powers of 10.

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Use this rule to do these problems: What does 102 × 105 mean?

102 × 105 = 10(2 + 5) {xm× xn = x(m + n)} = 107 Thus, 102 × 105 means 7 powers of 10.

Use this rule to do these problems:

What does 10² × 10⁵ mean?

10²× 10⁵

= 10^{(2 + 5)} {x^m× xⁿ = x⁽^m⁺ⁿ⁾}

= 10⁷

Thus, 10²× 10⁵ means 7 powers of 10.