Solve ( ) (10 ^ 10) ^ 10 = 100 ^ 10 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$( 10 ^ { 10 } ) ^ { 10 } = 100 ^ { 10 }$$

Verify

$\text{false}$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply $10$ and $10$ to get $100$.

$$10^{100}=100^{10}$$

Calculate $10$ to the power of $100$ and get $10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$.

$$10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000=100^{10}$$

Calculate $100$ to the power of $10$ and get $100000000000000000000$.

$$10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000=100000000000000000000$$

Compare $10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$ and $100000000000000000000$.

$$\text{false}$$